\(x^3=5x^2-4x\Leftrightarrow x^3-5x^2+4x=0\Leftrightarrow x\left(x^2-5x+4\right)=0\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x^2-5x+4=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x^2-x-4x+4=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x\left(x-1\right)-4\left(x-1\right)=0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\\left(x-4\right)\left(x-1\right)=0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0\\\left\{{}\begin{matrix}x-4=0\\x-1=0\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0\\\left\{{}\begin{matrix}x=4\\x=1\end{matrix}\right.\end{matrix}\right.\)

vậy \(x=0;x=4;x=1\)