Is it possible to solve this quadratic equation without calculating discriminant

Question

I have the quadratic equation $\;\;5x^2+96x-576=0\;\;$. I wonder can we solve it without using formula $x=\frac{-b\pm\sqrt{\Delta}}{2a}$ ? I suspect there is some way to do it because we have a lot of $24$s , ( $96=24\times4$ and $576=24^2)$ but I can't find it.

Answer 1

Let $y = 24$ and you have

$$5x^2+4xy - y^2$$

which easily factors as $(5x-y)(x+y)$.