30y(y-10)=15y

Solution for 30y(y-10)=15y equation:

30y(y-10)=15y

We move all terms to the left:

30y(y-10)-(15y)=0

We add all the numbers together, and all the variables

-15y+30y(y-10)=0

We multiply parentheses

30y^2-15y-300y=0

We add all the numbers together, and all the variables

30y^2-315y=0

a = 30; b = -315; c = 0;
Δ = b2-4ac
Δ = -3152-4·30·0
Δ = 99225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{99225}=315$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-315)-315}{2*30}=\frac{0}{60}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-315)+315}{2*30}=\frac{630}{60}
=10+1/2
$