6x(x-3)=18x

Solution for 6x(x-3)=18x equation:

Simplifying
6x(x + -3) = 18x

Reorder the terms:
6x(-3 + x) = 18x
(-3 * 6x + x * 6x) = 18x
(-18x + 6x2) = 18x

Solving
-18x + 6x2 = 18x

Solving for variable 'x'.

Reorder the terms:
-18x + -18x + 6x2 = 18x + -18x

Combine like terms: -18x + -18x = -36x
-36x + 6x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
-36x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-6 + x) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, 6}