36p^2=24

Solution for 36p^2=24 equation:

36p^2=24

We move all terms to the left:

36p^2-(24)=0

a = 36; b = 0; c = -24;
Δ = b2-4ac
Δ = 02-4·36·(-24)
Δ = 3456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3456}=\sqrt{576*6}=\sqrt{576}*\sqrt{6}=24\sqrt{6}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{6}}{2*36}=\frac{0-24\sqrt{6}}{72}
=-\frac{24\sqrt{6}}{72}
=-\frac{\sqrt{6}}{3}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{6}}{2*36}=\frac{0+24\sqrt{6}}{72}
=\frac{24\sqrt{6}}{72}
=\frac{\sqrt{6}}{3}
$