220=60x^2

Solution for 220=60x^2 equation:

220=60x^2

We move all terms to the left:

220-(60x^2)=0

a = -60; b = 0; c = +220;
Δ = b2-4ac
Δ = 02-4·(-60)·220
Δ = 52800
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:

$\sqrt{\Delta}=\sqrt{52800}=\sqrt{1600*33}=\sqrt{1600}*\sqrt{33}=40\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{33}}{2*-60}=\frac{0-40\sqrt{33}}{-120}
=-\frac{40\sqrt{33}}{-120}
=-\frac{\sqrt{33}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{33}}{2*-60}=\frac{0+40\sqrt{33}}{-120}
=\frac{40\sqrt{33}}{-120}
=\frac{\sqrt{33}}{-3}
$