36x^2=14

Solution for 36x^2=14 equation:

36x^2=14

We move all terms to the left:

36x^2-(14)=0

a = 36; b = 0; c = -14;
Δ = b2-4ac
Δ = 02-4·36·(-14)
Δ = 2016
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:

$\sqrt{\Delta}=\sqrt{2016}=\sqrt{144*14}=\sqrt{144}*\sqrt{14}=12\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{14}}{2*36}=\frac{0-12\sqrt{14}}{72}
=-\frac{12\sqrt{14}}{72}
=-\frac{\sqrt{14}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{14}}{2*36}=\frac{0+12\sqrt{14}}{72}
=\frac{12\sqrt{14}}{72}
=\frac{\sqrt{14}}{6}
$