144=3x*x

Solution for 144=3x*x equation:

144=3x*x

We move all terms to the left:

144-(3x*x)=0

We add all the numbers together, and all the variables

-(+3x*x)+144=0

We get rid of parentheses

-3x*x+144=0

Wy multiply elements

-3x^2+144=0

a = -3; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-3)·144
Δ = 1728
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:

$\sqrt{\Delta}=\sqrt{1728}=\sqrt{576*3}=\sqrt{576}*\sqrt{3}=24\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{3}}{2*-3}=\frac{0-24\sqrt{3}}{-6}
=-\frac{24\sqrt{3}}{-6}
=-\frac{4\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{3}}{2*-3}=\frac{0+24\sqrt{3}}{-6}
=\frac{24\sqrt{3}}{-6}
=\frac{4\sqrt{3}}{-1}
$