\(4x^3+32=0\Rightarrow4\left(x^3+8\right)=0\)
\(\Leftrightarrow x^3+2^3=0\Leftrightarrow x^3=-2^3\)
\(\Leftrightarrow x^3=\left(-2\right)^3\Rightarrow x=-2\)
\(2x^2-3x=0\Leftrightarrow x\left(2x-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\2x-3=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\frac{3}{2}\end{matrix}\right.\)