30x(x-10)=15x

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

30x(x-10)=15x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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

We add all the numbers together, and all the variables

30x^2-315x=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:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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