6x(x-20)=4x

Solution for 6x(x-20)=4x equation:

6x(x-20)=4x

We move all terms to the left:

6x(x-20)-(4x)=0

We add all the numbers together, and all the variables

-4x+6x(x-20)=0

We multiply parentheses

6x^2-4x-120x=0

We add all the numbers together, and all the variables

6x^2-124x=0

a = 6; b = -124; c = 0;
Δ = b2-4ac
Δ = -1242-4·6·0
Δ = 15376
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15376}=124$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-124)-124}{2*6}=\frac{0}{12}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-124)+124}{2*6}=\frac{248}{12}
=20+2/3
$