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

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

Simplifying
4a2b + ab2 + -3ab = 0

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

Solving
-3ab + ab2 + 4a2b = 0

Solving for variable 'a'.

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

Simplifying
-3 + b + 4a = 0

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

Solving
-3 + 4a + b = 0

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

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

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

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

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

Add '-1b' to each side of the equation.
4a + b + -1b = 3 + -1b

Combine like terms: b + -1b = 0
4a + 0 = 3 + -1b
4a = 3 + -1b

Divide each side by '4'.
a = 0.75 + -0.25b

Simplifying
a = 0.75 + -0.25b
Solution
a = {0.75 + -0.25b}