144y2-45=-36

Solution for 144y2-45=-36 equation:

144y^2-45=-36

We move all terms to the left:

144y^2-45-(-36)=0

We add all the numbers together, and all the variables

144y^2-9=0

a = 144; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·144·(-9)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*144}=\frac{-72}{288}
=-1/4
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*144}=\frac{72}{288}
=1/4
$