x^2-75x=-10x

Solution for x^2-75x=-10x equation:

x^2-75x=-10x

We move all terms to the left:

x^2-75x-(-10x)=0

We get rid of parentheses

x^2-75x+10x=0

We add all the numbers together, and all the variables

x^2-65x=0

a = 1; b = -65; c = 0;
Δ = b2-4ac
Δ = -652-4·1·0
Δ = 4225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4225}=65$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-65)-65}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-65)+65}{2*1}=\frac{130}{2}
=65
$