(ab^2-a^2b+ab)+(-ab^2-3a^2b+4ab)=0

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Solution for (ab^2-a^2b+ab)+(-ab^2-3a^2b+4ab)=0 equation: 


Simplifying
(ab2 + -1a2b + ab) + (-1ab2 + -3a2b + 4ab) = 0

Reorder the terms:
(ab + ab2 + -1a2b) + (-1ab2 + -3a2b + 4ab) = 0

Remove parenthesis around (ab + ab2 + -1a2b)
ab + ab2 + -1a2b + (-1ab2 + -3a2b + 4ab) = 0

Reorder the terms:
ab + ab2 + -1a2b + (4ab + -1ab2 + -3a2b) = 0

Remove parenthesis around (4ab + -1ab2 + -3a2b)
ab + ab2 + -1a2b + 4ab + -1ab2 + -3a2b = 0

Reorder the terms:
ab + 4ab + ab2 + -1ab2 + -1a2b + -3a2b = 0

Combine like terms: ab + 4ab = 5ab
5ab + ab2 + -1ab2 + -1a2b + -3a2b = 0

Combine like terms: ab2 + -1ab2 = 0
5ab + 0 + -1a2b + -3a2b = 0
5ab + -1a2b + -3a2b = 0

Combine like terms: -1a2b + -3a2b = -4a2b
5ab + -4a2b = 0

Solving
5ab + -4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(5 + -4a) = 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 '(5 + -4a)' equal to zero and attempt to solve:

Simplifying
5 + -4a = 0

Solving
5 + -4a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4a = 0 + -5
-4a = 0 + -5

Combine like terms: 0 + -5 = -5
-4a = -5

Divide each side by '-4'.
a = 1.25

Simplifying
a = 1.25
Solution
a = {1.25}

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