4x(x+8)=4x*2

Solution for 4x(x+8)=4x*2 equation:

4x(x+8)=4x*2

We move all terms to the left:

4x(x+8)-(4x*2)=0

We add all the numbers together, and all the variables

4x(x+8)-(+4x*2)=0

We multiply parentheses

4x^2+32x-(+4x*2)=0

We get rid of parentheses

4x^2+32x-4x*2=0

Wy multiply elements

4x^2+32x-8x=0

We add all the numbers together, and all the variables

4x^2+24x=0

a = 4; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·4·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*4}=\frac{-48}{8}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*4}=\frac{0}{8}
=0
$