72=8y^2

Solution for 72=8y^2 equation:

72=8y^2

We move all terms to the left:

72-(8y^2)=0

a = -8; b = 0; c = +72;
Δ = b2-4ac
Δ = 02-4·(-8)·72
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-8}=\frac{-48}{-16}
=+3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-8}=\frac{48}{-16}
=-3
$