8x^2+180x+360=0

Solution for 8x^2+180x+360=0 equation:

8x^2+180x+360=0

a = 8; b = 180; c = +360;
Δ = b2-4ac
Δ = 1802-4·8·360
Δ = 20880
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:

$\sqrt{\Delta}=\sqrt{20880}=\sqrt{144*145}=\sqrt{144}*\sqrt{145}=12\sqrt{145}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-12\sqrt{145}}{2*8}=\frac{-180-12\sqrt{145}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+12\sqrt{145}}{2*8}=\frac{-180+12\sqrt{145}}{16}
$