(6.36^2)8y=121.5

Solution for (6.36^2)8y=121.5 equation:

(6.36^2)8y=121.5

We move all terms to the left:

(6.36^2)8y-(121.5)=0

We add all the numbers together, and all the variables

(6.36^2)8y-121.5=0

We multiply parentheses

48y^2-121.5=0

a = 48; b = 0; c = -121.5;
Δ = b2-4ac
Δ = 02-4·48·(-121.5)
Δ = 23328
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{23328}=\sqrt{11664*2}=\sqrt{11664}*\sqrt{2}=108\sqrt{2}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108\sqrt{2}}{2*48}=\frac{0-108\sqrt{2}}{96}
=-\frac{108\sqrt{2}}{96}
=-\frac{9\sqrt{2}}{8}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108\sqrt{2}}{2*48}=\frac{0+108\sqrt{2}}{96}
=\frac{108\sqrt{2}}{96}
=\frac{9\sqrt{2}}{8}
$