x(x-6)=12x

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Solution for x(x-6)=12x equation: 


Simplifying
x(x + -6) = 12x

Reorder the terms:
x(-6 + x) = 12x
(-6 * x + x * x) = 12x
(-6x + x2) = 12x

Solving
-6x + x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-6x + -12x + x2 = 12x + -12x

Combine like terms: -6x + -12x = -18x
-18x + x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-18x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18 + x) = 0


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 '(-18 + x)' equal to zero and attempt to solve:

Simplifying
-18 + x = 0

Solving
-18 + x = 0

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

Add '18' to each side of the equation.
-18 + 18 + x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + x = 0 + 18
x = 0 + 18

Combine like terms: 0 + 18 = 18
x = 18

Simplifying
x = 18
Solution
x = {0, 18}

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