5x(x-12)=20x

Solution for 5x(x-12)=20x equation:

5x(x-12)=20x

We move all terms to the left:

5x(x-12)-(20x)=0

We add all the numbers together, and all the variables

-20x+5x(x-12)=0

We multiply parentheses

5x^2-20x-60x=0

We add all the numbers together, and all the variables

5x^2-80x=0

a = 5; b = -80; c = 0;
Δ = b2-4ac
Δ = -802-4·5·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-80)-80}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80)+80}{2*5}=\frac{160}{10}
=16
$