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

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


Simplifying
(a2 + 3ab2 + -2a2b2) + -1(-1ab2 + 2a2b + -1a2b2) = 0

Reorder the terms:
(3ab2 + a2 + -2a2b2) + -1(-1ab2 + 2a2b + -1a2b2) = 0

Remove parenthesis around (3ab2 + a2 + -2a2b2)
3ab2 + a2 + -2a2b2 + -1(-1ab2 + 2a2b + -1a2b2) = 0
3ab2 + a2 + -2a2b2 + (-1ab2 * -1 + 2a2b * -1 + -1a2b2 * -1) = 0
3ab2 + a2 + -2a2b2 + (1ab2 + -2a2b + 1a2b2) = 0

Reorder the terms:
3ab2 + 1ab2 + a2 + -2a2b + -2a2b2 + 1a2b2 = 0

Combine like terms: 3ab2 + 1ab2 = 4ab2
4ab2 + a2 + -2a2b + -2a2b2 + 1a2b2 = 0

Combine like terms: -2a2b2 + 1a2b2 = -1a2b2
4ab2 + a2 + -2a2b + -1a2b2 = 0

Solving
4ab2 + a2 + -2a2b + -1a2b2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(4b2 + a + -2ab + -1ab2) = 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 '(4b2 + a + -2ab + -1ab2)' equal to zero and attempt to solve:

Simplifying
4b2 + a + -2ab + -1ab2 = 0

Reorder the terms:
a + -2ab + -1ab2 + 4b2 = 0

Solving
a + -2ab + -1ab2 + 4b2 = 0

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

Add '-4b2' to each side of the equation.
a + -2ab + -1ab2 + 4b2 + -4b2 = 0 + -4b2

Combine like terms: 4b2 + -4b2 = 0
a + -2ab + -1ab2 + 0 = 0 + -4b2
a + -2ab + -1ab2 = 0 + -4b2
Remove the zero:
a + -2ab + -1ab2 = -4b2

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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