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