18x=6x(x-1)

Solution for 18x=6x(x-1) equation:

18x=6x(x-1)

We move all terms to the left:

18x-(6x(x-1))=0


We calculate terms in parentheses: -(6x(x-1)), so:

6x(x-1)

We multiply parentheses

6x^2-6x

Back to the equation:

-(6x^2-6x)


We get rid of parentheses

-6x^2+18x+6x=0

We add all the numbers together, and all the variables

-6x^2+24x=0

a = -6; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-6)·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*-6}=\frac{-48}{-12}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-6}=\frac{0}{-12}
=0
$