11x^2-12x=9x^2+12x

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Solution for 11x^2-12x=9x^2+12x equation: 


Simplifying
11x2 + -12x = 9x2 + 12x

Reorder the terms:
-12x + 11x2 = 9x2 + 12x

Reorder the terms:
-12x + 11x2 = 12x + 9x2

Solving
-12x + 11x2 = 12x + 9x2

Solving for variable 'x'.

Reorder the terms:
-12x + -12x + 11x2 + -9x2 = 12x + 9x2 + -12x + -9x2

Combine like terms: -12x + -12x = -24x
-24x + 11x2 + -9x2 = 12x + 9x2 + -12x + -9x2

Combine like terms: 11x2 + -9x2 = 2x2
-24x + 2x2 = 12x + 9x2 + -12x + -9x2

Reorder the terms:
-24x + 2x2 = 12x + -12x + 9x2 + -9x2

Combine like terms: 12x + -12x = 0
-24x + 2x2 = 0 + 9x2 + -9x2
-24x + 2x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12 + x) = 0

Ignore the factor 2.

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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