936=2x^2+8x-24=0

Solution for 936=2x^2+8x-24=0 equation:

936=2x^2+8x-24=0

We move all terms to the left:

936-(2x^2+8x-24)=0

We get rid of parentheses

-2x^2-8x+24+936=0

We add all the numbers together, and all the variables

-2x^2-8x+960=0

a = -2; b = -8; c = +960;
Δ = b2-4ac
Δ = -82-4·(-2)·960
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-88}{2*-2}=\frac{-80}{-4}
=+20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+88}{2*-2}=\frac{96}{-4}
=-24
$