5y(y-10)=-5

Solution for 5y(y-10)=-5 equation:

5y(y-10)=-5

We move all terms to the left:

5y(y-10)-(-5)=0

We add all the numbers together, and all the variables

5y(y-10)+5=0

We multiply parentheses

5y^2-50y+5=0

a = 5; b = -50; c = +5;
Δ = b2-4ac
Δ = -502-4·5·5
Δ = 2400
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:

$\sqrt{\Delta}=\sqrt{2400}=\sqrt{400*6}=\sqrt{400}*\sqrt{6}=20\sqrt{6}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-20\sqrt{6}}{2*5}=\frac{50-20\sqrt{6}}{10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+20\sqrt{6}}{2*5}=\frac{50+20\sqrt{6}}{10}
$