3a^2b-2ab+4ab^2-ba=

Solution for 3a^2b-2ab+4ab^2-ba= equation:

Simplifying
3a2b + -2ab + 4ab2 + -1ba = 0

Reorder the terms:
-2ab + -1ab + 4ab2 + 3a2b = 0

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

Solving
-3ab + 4ab2 + 3a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(-3 + 4b + 3a) = 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 '(-3 + 4b + 3a)' equal to zero and attempt to solve:

Simplifying
-3 + 4b + 3a = 0

Reorder the terms:
-3 + 3a + 4b = 0

Solving
-3 + 3a + 4b = 0

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

Add '3' to each side of the equation.
-3 + 3a + 3 + 4b = 0 + 3

Reorder the terms:
-3 + 3 + 3a + 4b = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3a + 4b = 0 + 3
3a + 4b = 0 + 3

Combine like terms: 0 + 3 = 3
3a + 4b = 3

Add '-4b' to each side of the equation.
3a + 4b + -4b = 3 + -4b

Combine like terms: 4b + -4b = 0
3a + 0 = 3 + -4b
3a = 3 + -4b

Divide each side by '3'.
a = 1 + -1.333333333b

Simplifying
a = 1 + -1.333333333b
Solution
a = {1 + -1.333333333b}