-2x(6x-8)=4x

Solution for -2x(6x-8)=4x equation:

-2x(6x-8)=4x

We move all terms to the left:

-2x(6x-8)-(4x)=0

We add all the numbers together, and all the variables

-4x-2x(6x-8)=0

We multiply parentheses

-12x^2-4x+16x=0

We add all the numbers together, and all the variables

-12x^2+12x=0

a = -12; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-12)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-12}=\frac{-24}{-24}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-12}=\frac{0}{-24}
=0
$