18x(2x-12)=8x

Solution for 18x(2x-12)=8x equation:

18x(2x-12)=8x

We move all terms to the left:

18x(2x-12)-(8x)=0

We add all the numbers together, and all the variables

-8x+18x(2x-12)=0

We multiply parentheses

36x^2-8x-216x=0

We add all the numbers together, and all the variables

36x^2-224x=0

a = 36; b = -224; c = 0;
Δ = b2-4ac
Δ = -2242-4·36·0
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-224)-224}{2*36}=\frac{0}{72}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-224)+224}{2*36}=\frac{448}{72}
=6+2/9
$