(6a^2b-8ab^2+12a^2b^2)=

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Solution for (6a^2b-8ab^2+12a^2b^2)= equation:


Simplifying
(6a2b + -8ab2 + 12a2b2) = 0

Reorder the terms:
(-8ab2 + 6a2b + 12a2b2) = 0

Remove parenthesis around (-8ab2 + 6a2b + 12a2b2)
-8ab2 + 6a2b + 12a2b2 = 0

Solving
-8ab2 + 6a2b + 12a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(-4b + 3a + 6ab) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-4b + 3a + 6ab)' equal to zero and attempt to solve: Simplifying -4b + 3a + 6ab = 0 Reorder the terms: 3a + 6ab + -4b = 0 Solving 3a + 6ab + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 3a + 6ab + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 3a + 6ab + 0 = 0 + 4b 3a + 6ab = 0 + 4b Remove the zero: 3a + 6ab = 4b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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