4x(8-2x)=4x

Solution for 4x(8-2x)=4x equation:

4x(8-2x)=4x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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

We add all the numbers together, and all the variables

-8x^2+28x=0

a = -8; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·(-8)·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*-8}=\frac{-56}{-16}
=3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*-8}=\frac{0}{-16}
=0
$