12a=9b^2a-13a^2b^2+4ab^2-13a^2b^2

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Solution for 12a=9b^2a-13a^2b^2+4ab^2-13a^2b^2 equation: 


Simplifying
12a = 9b2a + -13a2b2 + 4ab2 + -13a2b2

Reorder the terms:
12a = 9ab2 + 4ab2 + -13a2b2 + -13a2b2

Combine like terms: 9ab2 + 4ab2 = 13ab2
12a = 13ab2 + -13a2b2 + -13a2b2

Combine like terms: -13a2b2 + -13a2b2 = -26a2b2
12a = 13ab2 + -26a2b2

Solving
12a = 13ab2 + -26a2b2

Solving for variable 'a'.

Reorder the terms:
12a + -13ab2 + 26a2b2 = 13ab2 + -13ab2 + -26a2b2 + 26a2b2

Combine like terms: 13ab2 + -13ab2 = 0
12a + -13ab2 + 26a2b2 = 0 + -26a2b2 + 26a2b2
12a + -13ab2 + 26a2b2 = -26a2b2 + 26a2b2

Combine like terms: -26a2b2 + 26a2b2 = 0
12a + -13ab2 + 26a2b2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(12 + -13b2 + 26ab2) = 0


Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(12 + -13b2 + 26ab2)' equal to zero and attempt to solve:

Simplifying
12 + -13b2 + 26ab2 = 0

Reorder the terms:
12 + 26ab2 + -13b2 = 0

Solving
12 + 26ab2 + -13b2 = 0

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

Add '-12' to each side of the equation.
12 + 26ab2 + -12 + -13b2 = 0 + -12

Reorder the terms:
12 + -12 + 26ab2 + -13b2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 26ab2 + -13b2 = 0 + -12
26ab2 + -13b2 = 0 + -12

Combine like terms: 0 + -12 = -12
26ab2 + -13b2 = -12

Add '13b2' to each side of the equation.
26ab2 + -13b2 + 13b2 = -12 + 13b2

Combine like terms: -13b2 + 13b2 = 0
26ab2 + 0 = -12 + 13b2
26ab2 = -12 + 13b2

Divide each side by '26b2'.
a = -0.4615384615b-2 + 0.5

Simplifying
a = -0.4615384615b-2 + 0.5

Reorder the terms:
a = 0.5 + -0.4615384615b-2
Solution
a = {0, 0.5 + -0.4615384615b-2}

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