\(x^{10}=x^2\Leftrightarrow x^{10}-x^2=0\Leftrightarrow x^2\left(x^8-1\right)=0\Leftrightarrow\left\{{}\begin{matrix}x^2=0\\x^8=1\\x^8=-1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)
x10 = x2
\(\Rightarrow\) x2 . x8 = x2
\(\Rightarrow\) x8 = 0
\(\Rightarrow\) x = 0