\(x^3=3x-2\Leftrightarrow x^3-\left(3x-2\right)=0\Leftrightarrow x^3-3x+2=0\)
\(\Leftrightarrow\left(x^3-2x^2+x\right)+\left(2x^2-4x+2\right)=0\)
\(\Leftrightarrow x\left(x^2-2x+1\right)+2\left(x^2-2x+1\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x^2-2x+1\right)=0\) \(\Leftrightarrow\left\{{}\begin{matrix}x+2=0\\x^2-2x+1=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\\left(x-1\right)^2=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\x-1=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\x=1\end{matrix}\right.\)
vậy \(x=-2;x=1\)
