x.30(x-10)=15x

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

x.30(x-10)=15x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

x^2-15x-10x=0

We add all the numbers together, and all the variables

x^2-25x=0

a = 1; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·1·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*1}=\frac{50}{2}
=25
$