ab^2(2a-3a^2b+b)-a^2b(1+2ab^2-4b)=

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Solution for ab^2(2a-3a^2b+b)-a^2b(1+2ab^2-4b)= equation: 


Simplifying
ab2(2a + -3a2b + b) + -1a2b(1 + 2ab2 + -4b) = 0
(2a * ab2 + -3a2b * ab2 + b * ab2) + -1a2b(1 + 2ab2 + -4b) = 0

Reorder the terms:
(ab3 + 2a2b2 + -3a3b3) + -1a2b(1 + 2ab2 + -4b) = 0
(ab3 + 2a2b2 + -3a3b3) + -1a2b(1 + 2ab2 + -4b) = 0
ab3 + 2a2b2 + -3a3b3 + (1 * -1a2b + 2ab2 * -1a2b + -4b * -1a2b) = 0

Reorder the terms:
ab3 + 2a2b2 + -3a3b3 + (-1a2b + 4a2b2 + -2a3b3) = 0
ab3 + 2a2b2 + -3a3b3 + (-1a2b + 4a2b2 + -2a3b3) = 0

Reorder the terms:
ab3 + -1a2b + 2a2b2 + 4a2b2 + -3a3b3 + -2a3b3 = 0

Combine like terms: 2a2b2 + 4a2b2 = 6a2b2
ab3 + -1a2b + 6a2b2 + -3a3b3 + -2a3b3 = 0

Combine like terms: -3a3b3 + -2a3b3 = -5a3b3
ab3 + -1a2b + 6a2b2 + -5a3b3 = 0

Solving
ab3 + -1a2b + 6a2b2 + -5a3b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(b2 + -1a + 6ab + -5a2b2) = 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 '(b2 + -1a + 6ab + -5a2b2)' equal to zero and attempt to solve:

Simplifying
b2 + -1a + 6ab + -5a2b2 = 0

Reorder the terms:
-1a + 6ab + -5a2b2 + b2 = 0

Solving
-1a + 6ab + -5a2b2 + b2 = 0

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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