x^2+12x-360=360

Solution for x^2+12x-360=360 equation:

x^2+12x-360=360

We move all terms to the left:

x^2+12x-360-(360)=0

We add all the numbers together, and all the variables

x^2+12x-720=0

a = 1; b = 12; c = -720;
Δ = b2-4ac
Δ = 122-4·1·(-720)
Δ = 3024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3024}=\sqrt{144*21}=\sqrt{144}*\sqrt{21}=12\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{21}}{2*1}=\frac{-12-12\sqrt{21}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{21}}{2*1}=\frac{-12+12\sqrt{21}}{2}
$