3x*x=108^2

Solution for 3x*x=108^2 equation:

3x*x=108^2

We move all terms to the left:

3x*x-(108^2)=0

We add all the numbers together, and all the variables

3x*x-11664=0

Wy multiply elements

3x^2-11664=0

a = 3; b = 0; c = -11664;
Δ = b2-4ac
Δ = 02-4·3·(-11664)
Δ = 139968
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:

$\sqrt{\Delta}=\sqrt{139968}=\sqrt{46656*3}=\sqrt{46656}*\sqrt{3}=216\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216\sqrt{3}}{2*3}=\frac{0-216\sqrt{3}}{6}
=-\frac{216\sqrt{3}}{6}
=-36\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216\sqrt{3}}{2*3}=\frac{0+216\sqrt{3}}{6}
=\frac{216\sqrt{3}}{6}
=36\sqrt{3}
$