3c^2=576

Solution for 3c^2=576 equation:

3c^2=576

We move all terms to the left:

3c^2-(576)=0

a = 3; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·3·(-576)
Δ = 6912
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{6912}=\sqrt{2304*3}=\sqrt{2304}*\sqrt{3}=48\sqrt{3}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{3}}{2*3}=\frac{0-48\sqrt{3}}{6}
=-\frac{48\sqrt{3}}{6}
=-8\sqrt{3}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{3}}{2*3}=\frac{0+48\sqrt{3}}{6}
=\frac{48\sqrt{3}}{6}
=8\sqrt{3}
$