8x^2+12x-360=0

Solution for 8x^2+12x-360=0 equation:

8x^2+12x-360=0

a = 8; b = 12; c = -360;
Δ = b2-4ac
Δ = 122-4·8·(-360)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-108}{2*8}=\frac{-120}{16}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+108}{2*8}=\frac{96}{16}
=6
$