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

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

Simplifying
-1a3(ab + b2) = 0
(ab * -1a3 + b2 * -1a3) = 0

Reorder the terms:
(-1a3b2 + -1a4b) = 0
(-1a3b2 + -1a4b) = 0

Solving
-1a3b2 + -1a4b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a3b'.
-1a3b(b + a) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'a3b' equal to zero and attempt to solve:

Simplifying
a3b = 0

Solving
a3b = 0

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

Simplifying
a3b = 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 '(b + a)' equal to zero and attempt to solve:

Simplifying
b + a = 0

Reorder the terms:
a + b = 0

Solving
a + b = 0

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

Add '-1b' to each side of the equation.
a + b + -1b = 0 + -1b

Combine like terms: b + -1b = 0
a + 0 = 0 + -1b
a = 0 + -1b
Remove the zero:
a = -1b

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