3a^2b+2a^2b^2=ab^2+a^2b^2

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Solution for 3a^2b+2a^2b^2=ab^2+a^2b^2 equation:


Simplifying
3a2b + 2a2b2 = ab2 + a2b2

Solving
3a2b + 2a2b2 = ab2 + a2b2

Solving for variable 'a'.

Reorder the terms:
-1ab2 + 3a2b + 2a2b2 + -1a2b2 = ab2 + a2b2 + -1ab2 + -1a2b2

Combine like terms: 2a2b2 + -1a2b2 = 1a2b2
-1ab2 + 3a2b + 1a2b2 = ab2 + a2b2 + -1ab2 + -1a2b2

Reorder the terms:
-1ab2 + 3a2b + 1a2b2 = ab2 + -1ab2 + a2b2 + -1a2b2

Combine like terms: ab2 + -1ab2 = 0
-1ab2 + 3a2b + 1a2b2 = 0 + a2b2 + -1a2b2
-1ab2 + 3a2b + 1a2b2 = a2b2 + -1a2b2

Combine like terms: a2b2 + -1a2b2 = 0
-1ab2 + 3a2b + 1a2b2 = 0

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

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 '(-1b + 3a + ab)' equal to zero and attempt to solve: Simplifying -1b + 3a + ab = 0 Reorder the terms: 3a + ab + -1b = 0 Solving 3a + ab + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 3a + ab + -1b + b = 0 + b Combine like terms: -1b + b = 0 3a + ab + 0 = 0 + b 3a + ab = 0 + b Remove the zero: 3a + ab = b 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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