0=4x^2+108x-360

Solution for 0=4x^2+108x-360 equation:

0=4x^2+108x-360

We move all terms to the left:

0-(4x^2+108x-360)=0

We add all the numbers together, and all the variables

-(4x^2+108x-360)=0

We get rid of parentheses

-4x^2-108x+360=0

a = -4; b = -108; c = +360;
Δ = b2-4ac
Δ = -1082-4·(-4)·360
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-132}{2*-4}=\frac{-24}{-8}
=+3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+132}{2*-4}=\frac{240}{-8}
=-30
$