x(x-6)=6x

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


Simplifying
x(x + -6) = 6x

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

Solving
-6x + x2 = 6x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -6x = 0
-12x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-12 + 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 '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

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

Combine like terms: 0 + 12 = 12
x = 12

Simplifying
x = 12
Solution
x = {0, 12}

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