5x(x-2)=25x-10x

Solution for 5x(x-2)=25x-10x equation:

5x(x-2)=25x-10x

We move all terms to the left:

5x(x-2)-(25x-10x)=0

We add all the numbers together, and all the variables

5x(x-2)-(+15x)=0

We multiply parentheses

5x^2-10x-(+15x)=0

We get rid of parentheses

5x^2-10x-15x=0

We add all the numbers together, and all the variables

5x^2-25x=0

a = 5; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·5·0
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*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*5}=\frac{50}{10}
=5
$