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

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

Simplifying
4a2b3 + ab2 = 0

Reorder the terms:
ab2 + 4a2b3 = 0

Solving
ab2 + 4a2b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab2'.
ab2(1 + 4ab) = 0

Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve:

Simplifying
ab2 = 0

Solving
ab2 = 0

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

Simplifying
ab2 = 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 '(1 + 4ab)' equal to zero and attempt to solve:

Simplifying
1 + 4ab = 0

Solving
1 + 4ab = 0

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

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

Combine like terms: 1 + -1 = 0
0 + 4ab = 0 + -1
4ab = 0 + -1

Combine like terms: 0 + -1 = -1
4ab = -1

Divide each side by '4b'.
a = -0.25b-1

Simplifying
a = -0.25b-1
Solution
a = {-0.25b-1}