360=480x^2

Solution for 360=480x^2 equation:

360=480x^2

We move all terms to the left:

360-(480x^2)=0

a = -480; b = 0; c = +360;
Δ = b2-4ac
Δ = 02-4·(-480)·360
Δ = 691200
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:

$\sqrt{\Delta}=\sqrt{691200}=\sqrt{230400*3}=\sqrt{230400}*\sqrt{3}=480\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-480\sqrt{3}}{2*-480}=\frac{0-480\sqrt{3}}{-960}
=-\frac{480\sqrt{3}}{-960}
=-\frac{\sqrt{3}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+480\sqrt{3}}{2*-480}=\frac{0+480\sqrt{3}}{-960}
=\frac{480\sqrt{3}}{-960}
=\frac{\sqrt{3}}{-2}
$