156=3x^2

Solution for 156=3x^2 equation:

156=3x^2

We move all terms to the left:

156-(3x^2)=0

a = -3; b = 0; c = +156;
Δ = b2-4ac
Δ = 02-4·(-3)·156
Δ = 1872
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:

$\sqrt{\Delta}=\sqrt{1872}=\sqrt{144*13}=\sqrt{144}*\sqrt{13}=12\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{13}}{2*-3}=\frac{0-12\sqrt{13}}{-6}
=-\frac{12\sqrt{13}}{-6}
=-\frac{2\sqrt{13}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{13}}{2*-3}=\frac{0+12\sqrt{13}}{-6}
=\frac{12\sqrt{13}}{-6}
=\frac{2\sqrt{13}}{-1}
$