12a^2-3ab+9a^2b^2=0

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Solution for 12a^2-3ab+9a^2b^2=0 equation:


Simplifying
12a2 + -3ab + 9a2b2 = 0

Reorder the terms:
-3ab + 12a2 + 9a2b2 = 0

Solving
-3ab + 12a2 + 9a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a'.
3a(-1b + 4a + 3ab2) = 0

Ignore the factor 3.

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 '(-1b + 4a + 3ab2)' equal to zero and attempt to solve: Simplifying -1b + 4a + 3ab2 = 0 Reorder the terms: 4a + 3ab2 + -1b = 0 Solving 4a + 3ab2 + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 4a + 3ab2 + -1b + b = 0 + b Combine like terms: -1b + b = 0 4a + 3ab2 + 0 = 0 + b 4a + 3ab2 = 0 + b Remove the zero: 4a + 3ab2 = b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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