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