Just factor the equation.
\(2x^2-12xy-32y^2\)
2 numbers to add up to -12 and multiply to -64 because of 2*-32.
\(=2x^2+4xy-16xy-32y^2\)
Simplify.
\(=2x(x+2y)-16y(x+2y)\)
Simplify even more with distributive property in your favour.
\(=(2x-16y)(x+2y)\)
Simplify.
\(=2(x-8y)(x+2y)\)