(2x+20)(2x)(x)=x

Solution for (2x+20)(2x)(x)=x equation:

(2x+20)(2x)(x)=x

We move all terms to the left:

(2x+20)(2x)(x)-(x)=0

We add all the numbers together, and all the variables

-1x+(2x+20)2xx=0

We multiply parentheses

4x^2-1x+40x=0

We add all the numbers together, and all the variables

4x^2+39x=0

a = 4; b = 39; c = 0;
Δ = b2-4ac
Δ = 392-4·4·0
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-39}{2*4}=\frac{-78}{8}
=-9+3/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+39}{2*4}=\frac{0}{8}
=0
$