4x^2+108x-360=0

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

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