-12x2+120-36x=0

Solution for -12x2+120-36x=0 equation:

-12x^2+120-36x=0

a = -12; b = -36; c = +120;
Δ = b2-4ac
Δ = -362-4·(-12)·120
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-84}{2*-12}=\frac{-48}{-24}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+84}{2*-12}=\frac{120}{-24}
=-5
$