\(\Leftrightarrow96-5x^2-2x=5\left(x^2-16\right)\)
\(\Leftrightarrow96-5x^2-2x=5x^2-80\)
\(\Leftrightarrow-5x^2-5x^2-2x=-80-96\)
\(\Leftrightarrow-10x^2-2x=-176\)
\(\Leftrightarrow2x\left(-5x-1\right)=-176\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=-176\\-5x-1=-176\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\frac{176}{2}=-88\\-5x=-175\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-88\\x=-\frac{175}{-5}=35\end{matrix}\right.\)