36x^2=216

Solution for 36x^2=216 equation:

36x^2=216

We move all terms to the left:

36x^2-(216)=0

a = 36; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·36·(-216)
Δ = 31104
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:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*36}=\frac{0-72\sqrt{6}}{72}
=-\frac{72\sqrt{6}}{72}
=-\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*36}=\frac{0+72\sqrt{6}}{72}
=\frac{72\sqrt{6}}{72}
=\sqrt{6}
$