120=6x^2

Solution for 120=6x^2 equation:

120=6x^2

We move all terms to the left:

120-(6x^2)=0

a = -6; b = 0; c = +120;
Δ = b2-4ac
Δ = 02-4·(-6)·120
Δ = 2880
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:

$\sqrt{\Delta}=\sqrt{2880}=\sqrt{576*5}=\sqrt{576}*\sqrt{5}=24\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{5}}{2*-6}=\frac{0-24\sqrt{5}}{-12}
=-\frac{24\sqrt{5}}{-12}
=-\frac{2\sqrt{5}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{5}}{2*-6}=\frac{0+24\sqrt{5}}{-12}
=\frac{24\sqrt{5}}{-12}
=\frac{2\sqrt{5}}{-1}
$