5y^2-60y=-100

Solution for 5y^2-60y=-100 equation:

5y^2-60y=-100

We move all terms to the left:

5y^2-60y-(-100)=0

We add all the numbers together, and all the variables

5y^2-60y+100=0

a = 5; b = -60; c = +100;
Δ = b2-4ac
Δ = -602-4·5·100
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-40}{2*5}=\frac{20}{10}
=2
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+40}{2*5}=\frac{100}{10}
=10
$