12*x*x=216

Solution for 12*x*x=216 equation:

12x*x=216

We move all terms to the left:

12x*x-(216)=0

Wy multiply elements

12x^2-216=0

a = 12; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·12·(-216)
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{2}}{2*12}=\frac{0-72\sqrt{2}}{24}
=-\frac{72\sqrt{2}}{24}
=-3\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{2}}{2*12}=\frac{0+72\sqrt{2}}{24}
=\frac{72\sqrt{2}}{24}
=3\sqrt{2}
$