`16(2-3x)+x^2 (3-2x)=0`
`<=>16(2-3x)-x^2(2-3x)=0`
`<=>(2-3x)(16-x^2)=0`
`<=> (2-3x)( 4 -x)(4+x)=0`
\(\Leftrightarrow\left[{}\begin{matrix}2-3x=0\\4-x=0\\4+x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=4\\x=-4\end{matrix}\right.\)