\(\Leftrightarrow\left[{}\begin{matrix}1-x=0\\x^3-8=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1-0\\x^3=0+8\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x^3=8\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x^3=2^3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)