12x^2+132x+360=0

Solution for 12x^2+132x+360=0 equation:

12x^2+132x+360=0

a = 12; b = 132; c = +360;
Δ = b2-4ac
Δ = 1322-4·12·360
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(132)-12}{2*12}=\frac{-144}{24}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(132)+12}{2*12}=\frac{-120}{24}
=-5
$