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