12x^2=720

Solution for 12x^2=720 equation:

12x^2=720

We move all terms to the left:

12x^2-(720)=0

a = 12; b = 0; c = -720;
Δ = b2-4ac
Δ = 02-4·12·(-720)
Δ = 34560
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:

$\sqrt{\Delta}=\sqrt{34560}=\sqrt{2304*15}=\sqrt{2304}*\sqrt{15}=48\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{15}}{2*12}=\frac{0-48\sqrt{15}}{24}
=-\frac{48\sqrt{15}}{24}
=-2\sqrt{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{15}}{2*12}=\frac{0+48\sqrt{15}}{24}
=\frac{48\sqrt{15}}{24}
=2\sqrt{15}
$