3x-18=3x(x-18)

Solution for 3x-18=3x(x-18) equation:

3x-18=3x(x-18)

We move all terms to the left:

3x-18-(3x(x-18))=0


We calculate terms in parentheses: -(3x(x-18)), so:

3x(x-18)

We multiply parentheses

3x^2-54x

Back to the equation:

-(3x^2-54x)


We get rid of parentheses

-3x^2+3x+54x-18=0

We add all the numbers together, and all the variables

-3x^2+57x-18=0

a = -3; b = 57; c = -18;
Δ = b2-4ac
Δ = 572-4·(-3)·(-18)
Δ = 3033
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3033}=\sqrt{9*337}=\sqrt{9}*\sqrt{337}=3\sqrt{337}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-3\sqrt{337}}{2*-3}=\frac{-57-3\sqrt{337}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+3\sqrt{337}}{2*-3}=\frac{-57+3\sqrt{337}}{-6}
$