6x^2-12x=6x

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Solution for 6x^2-12x=6x equation: 


Simplifying
6x2 + -12x = 6x

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

Solving
-12x + 6x2 = 6x

Solving for variable 'x'.

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

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

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

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-3 + 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Solution
x = {0, 3}

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