5y^2-60=5y

Solution for 5y^2-60=5y equation:

5y^2-60=5y

We move all terms to the left:

5y^2-60-(5y)=0

a = 5; b = -5; c = -60;
Δ = b2-4ac
Δ = -52-4·5·(-60)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-35}{2*5}=\frac{-30}{10}
=-3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+35}{2*5}=\frac{40}{10}
=4
$