3x^2+13x-12=9x^2-11x-12

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Solution for 3x^2+13x-12=9x^2-11x-12 equation: 


Simplifying
3x2 + 13x + -12 = 9x2 + -11x + -12

Reorder the terms:
-12 + 13x + 3x2 = 9x2 + -11x + -12

Reorder the terms:
-12 + 13x + 3x2 = -12 + -11x + 9x2

Add '12' to each side of the equation.
-12 + 13x + 12 + 3x2 = -12 + -11x + 12 + 9x2

Reorder the terms:
-12 + 12 + 13x + 3x2 = -12 + -11x + 12 + 9x2

Combine like terms: -12 + 12 = 0
0 + 13x + 3x2 = -12 + -11x + 12 + 9x2
13x + 3x2 = -12 + -11x + 12 + 9x2

Reorder the terms:
13x + 3x2 = -12 + 12 + -11x + 9x2

Combine like terms: -12 + 12 = 0
13x + 3x2 = 0 + -11x + 9x2
13x + 3x2 = -11x + 9x2

Solving
13x + 3x2 = -11x + 9x2

Solving for variable 'x'.

Reorder the terms:
13x + 11x + 3x2 + -9x2 = -11x + 9x2 + 11x + -9x2

Combine like terms: 13x + 11x = 24x
24x + 3x2 + -9x2 = -11x + 9x2 + 11x + -9x2

Combine like terms: 3x2 + -9x2 = -6x2
24x + -6x2 = -11x + 9x2 + 11x + -9x2

Reorder the terms:
24x + -6x2 = -11x + 11x + 9x2 + -9x2

Combine like terms: -11x + 11x = 0
24x + -6x2 = 0 + 9x2 + -9x2
24x + -6x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
24x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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