2x^2+360x-129600=0

Solution for 2x^2+360x-129600=0 equation:

2x^2+360x-129600=0

a = 2; b = 360; c = -129600;
Δ = b2-4ac
Δ = 3602-4·2·(-129600)
Δ = 1166400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1166400}=1080$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-1080}{2*2}=\frac{-1440}{4}
=-360
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+1080}{2*2}=\frac{720}{4}
=180
$