768=3x^2

Solution for 768=3x^2 equation:

768=3x^2

We move all terms to the left:

768-(3x^2)=0

a = -3; b = 0; c = +768;
Δ = b2-4ac
Δ = 02-4·(-3)·768
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-96}{2*-3}=\frac{-96}{-6}
=+16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+96}{2*-3}=\frac{96}{-6}
=-16
$