8x(2x-4)=3x-6)

Solution for 8x(2x-4)=3x-6) equation:

8x(2x-4)=3x-6)

We move all terms to the left:

8x(2x-4)-(3x-6))=0

We multiply parentheses

16x^2-32x-(3x-6))=0

We get rid of parentheses

16x^2-32x-3x+6)=0

We add all the numbers together, and all the variables

16x^2-35x=0

a = 16; b = -35; c = 0;
Δ = b2-4ac
Δ = -352-4·16·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-35}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+35}{2*16}=\frac{70}{32}
=2+3/16
$