Разложить многочлен на множители x^2+x^4/2+x^6/6+x^8/24

Комбинаторика

 2 /      6      4       2\
x *\24 + x  + 4*x  + 12*x /
---------------------------
             24            

$$\frac{x^{2} \left(x^{6} + 4 x^{4} + 12 x^{2} + 24\right)}{24}$$

Объединение рациональных выражений

 2 /      6      4       2\
x *\24 + x  + 4*x  + 12*x /
---------------------------
             24            

$$\frac{x^{2} \left(x^{6} + 4 x^{4} + 12 x^{2} + 24\right)}{24}$$

Разложение на множители

                                                                                                                                                                  /                                                                                                                                               /    /                                                                                        _______________              \\                                                                                                                                                /    /                                                                                        _______________              \\\ /                                                                                                                                               /    /                                                                                        _______________              \\                                                                                                                                                /    /                                                                                        _______________              \\\ /                                                                                                                                                 /    /                                                                                        _______________              \\                                                                                                                                                /    /                                                                                        _______________              \\\ /                                                                                                                                                 /    /                                                                                        _______________              \\                                                                                                                                                /    /                                                                                        _______________              \\\
                                                                                                                                                                  |                                                                                                                                               |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||                                                                                                                                                |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||| |                                                                                                                                               |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||                                                                                                                                                |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||| |                                                                                                                                                 |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||                                                                                                                                                |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||| |                                                                                                                                                 |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               ||                                                                                                                                                |    |                        3 ___   ___                                        2/3   ___ 3 /          ____               |||
                                                                                                                                                                  |                                                                                                                                               |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||                                                                                                                                                |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||| |                                                                                                                                               |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||                                                                                                                                                |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||| |                                                                                                                                                 |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||                                                                                                                                                |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||| |                                                                                                                                                 |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                ||                                                                                                                                                |    |                      5*\/ 2 *\/ 3                                        2   *\/ 3 *\/  43 + 9*\/ 29                |||
                                                                                                                                                                  |                                                                                                                                               |atan|---------------------------------------------------------- + --------------------------------------------------------||                                                                                                                                                |atan|---------------------------------------------------------- + --------------------------------------------------------||| |                                                                                                                                               |atan|---------------------------------------------------------- + --------------------------------------------------------||                                                                                                                                                |atan|---------------------------------------------------------- + --------------------------------------------------------||| |                                                                                                                                                 |atan|---------------------------------------------------------- + --------------------------------------------------------||                                                                                                                                                |atan|---------------------------------------------------------- + --------------------------------------------------------||| |                                                                                                                                                 |atan|---------------------------------------------------------- + --------------------------------------------------------||                                                                                                                                                |atan|---------------------------------------------------------- + --------------------------------------------------------|||
                                                                                                                                                                  |                                                                                                                                               |    |                                                       2/3     /                                     _______________\||                                                                                                                                                |    |                                                       2/3     /                                     _______________\||| |                                                                                                                                               |    |                                                       2/3     /                                     _______________\||                                                                                                                                                |    |                                                       2/3     /                                     _______________\||| |                                                                                                                                                 |    |                                                       2/3     /                                     _______________\||                                                                                                                                                |    |                                                       2/3     /                                     _______________\||| |                                                                                                                                                 |    |                                                       2/3     /                                     _______________\||                                                                                                                                                |    |                                                       2/3     /                                     _______________\|||
                                                                                                                                                                  |                                                                                                                                               |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||                                                                                                                                                |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||| |                                                                                                                                               |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||                                                                                                                                                |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||| |                                                                                                                                                 |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||                                                                                                                                                |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||| |                                                                                                                                                 |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ |||                                                                                                                                                |    |                 _______________    2/3 /         ____\        |              3 ___           2/3 3 /          ____ ||||
                                                                                                                                                                  |                                                                                                                                               |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||                                                                                                                                                |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||| |                                                                                                                                               |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||                                                                                                                                                |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||| |                                                                                                                                                 |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||                                                                                                                                                |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||| |                                                                                                                                                 |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  |||                                                                                                                                                |    |    3 ___     3 /          ____    2   *\43 + 9*\/ 29 /        |  4         5*\/ 2           2   *\/  43 + 9*\/ 29  ||||
  /                _____________________________________________________________\ /                _____________________________________________________________\ |            _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||             _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||| |            _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||             _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||| |              _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||             _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||| |              _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------|||             _______________________________________________________________________________________________________________________________    |    |- 5*\/ 2  - 4*\/  43 + 9*\/ 29   + -----------------------   6*|- - - -------------------- + -----------------------||||
  |               /                   _______________                       2/3 | |               /                   _______________                       2/3 | |           /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||            /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||| |           /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||            /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||| |             /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||            /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||| |             /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           |||            /                                                   2/3             _______________                                                 |    |                                              2                |  3        _______________              6           ||||
  |        ___   /       3 ___     3 /          ____     2/3 /         ____\    | |        ___   /       3 ___     3 /          ____     2/3 /         ____\    | |          /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||           /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||| |          /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||           /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||| |            /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||           /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||| |            /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           |||           /                 2/3           3 ___ /         ____\         2/3 3 /          ____             3 ___              2/3   ____        |    |                                                               |        3 /          ____                           ||||
  |    I*\/ 3 *\/   - 10*\/ 2  + 4*\/  43 + 9*\/ 29   + 2   *\43 + 9*\/ 29 /    | |    I*\/ 3 *\/   - 10*\/ 2  + 4*\/  43 + 9*\/ 29   + 2   *\43 + 9*\/ 29 /    | |         /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|          /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|| |         /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|          /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|| |           /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|          /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|| |           /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //|          /             158*2            2*\/ 2 *\43 + 9*\/ 29 /      2*2   *\/  43 + 9*\/ 29           40*\/ 2            6*2   *\/ 29         |    \                                                               \      3*\/  43 + 9*\/ 29                            //||
x*|x + -------------------------------------------------------------------------|*|x - -------------------------------------------------------------------------|*|x +     /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *sin|---------------------------------------------------------------------------------------------------------------------------| + I*    /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *cos|---------------------------------------------------------------------------------------------------------------------------||*|x +     /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *sin|---------------------------------------------------------------------------------------------------------------------------| - I*    /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *cos|---------------------------------------------------------------------------------------------------------------------------||*|x + -     /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *sin|---------------------------------------------------------------------------------------------------------------------------| + I*    /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *cos|---------------------------------------------------------------------------------------------------------------------------||*|x + -     /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *sin|---------------------------------------------------------------------------------------------------------------------------| - I*    /    4 - -------------------- + -------------------------- + ------------------------- + -------------------- - ------------------ *cos|---------------------------------------------------------------------------------------------------------------------------||
  |                                    _______________                          | |                                    _______________                          | |       /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /        /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /| |       /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /        /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /| |         /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /        /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /| |         /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /        /                          2/3               9                            9                    _______________                  2/3     \                                                             2                                                             /|
  |                                 6 /          ____                           | |                                 6 /          ____                           | |    4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                          4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                     | |    4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                          4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                     | |      4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                          4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                     | |      4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                          4 /            /         ____\                                                                 3 /          ____    /         ____\                                                                                                                                     |
  \                               3*\/  43 + 9*\/ 29                            / \                               3*\/  43 + 9*\/ 29                            / \    \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                          \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                     / \    \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                          \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                     / \      \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                          \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                     / \      \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                          \/           9*\43 + 9*\/ 29 /                                                               9*\/  43 + 9*\/ 29     \43 + 9*\/ 29 /                                                                                                                                     /

$$x \left(x + \frac{\sqrt{3} i \sqrt{- 10 \sqrt[3]{2} + 4 \sqrt[3]{43 + 9 \sqrt{29}} + 2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}}{3 \sqrt[6]{43 + 9 \sqrt{29}}}\right) \left(x - \frac{\sqrt{3} i \sqrt{- 10 \sqrt[3]{2} + 4 \sqrt[3]{43 + 9 \sqrt{29}} + 2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}}{3 \sqrt[6]{43 + 9 \sqrt{29}}}\right) \left(x + \left(\sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)} + i \sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)}\right)\right) \left(x + \left(\sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)} - i \sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)}\right)\right) \left(x + \left(- \sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)} + i \sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)}\right)\right) \left(x + \left(- \sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)} - i \sqrt[4]{- \frac{6 \cdot 2^{\frac{2}{3}} \sqrt{29}}{\left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} - \frac{158 \cdot 2^{\frac{2}{3}}}{9 \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}} + \frac{40 \sqrt[3]{2}}{9 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2 \cdot 2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{9} + 4 + \frac{2 \sqrt[3]{2} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{9}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{2^{\frac{2}{3}} \sqrt{3} \sqrt[3]{43 + 9 \sqrt{29}}}{6 \left(- \frac{4}{3} - \frac{5 \sqrt[3]{2}}{3 \sqrt[3]{43 + 9 \sqrt{29}}} + \frac{2^{\frac{2}{3}} \sqrt[3]{43 + 9 \sqrt{29}}}{6}\right)} + \frac{5 \sqrt[3]{2} \sqrt{3}}{- 4 \sqrt[3]{43 + 9 \sqrt{29}} - 5 \sqrt[3]{2} + \frac{2^{\frac{2}{3}} \left(43 + 9 \sqrt{29}\right)^{\frac{2}{3}}}{2}} \right)}}{2} \right)}\right)\right)$$