Question 166
Solve the equation:
$$
\begin{gathered}
(x + 1)^5 + (x + 1)^4(x - 1) + (x + 1)^3(x - 1)^2 + \\
+ (x + 1)^2(x - 1)^3 + (x + 1)(x - 1)^4 + (x - 1)^5 = 0.
\end{gathered}
$$
$$
\begin{gathered}
(x + 1)^5 + (x + 1)^4(x - 1) + (x + 1)^3(x - 1)^2 + \\
+ (x + 1)^2(x - 1)^3 + (x + 1)(x - 1)^4 + (x - 1)^5 = 0.
\end{gathered}
$$