X^2+12x-480=0

Solution for X^2+12x-480=0 equation:

X^2+12X-480=0

a = 1; b = 12; c = -480;
Δ = b2-4ac
Δ = 122-4·1·(-480)
Δ = 2064
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:

$\sqrt{\Delta}=\sqrt{2064}=\sqrt{16*129}=\sqrt{16}*\sqrt{129}=4\sqrt{129}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-4\sqrt{129}}{2*1}=\frac{-12-4\sqrt{129}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+4\sqrt{129}}{2*1}=\frac{-12+4\sqrt{129}}{2}
$