a^3+ab^2=

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


Simplifying
a3 + ab2 = 0

Reorder the terms:
ab2 + a3 = 0

Solving
ab2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(b2 + a2) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(b2 + a2)' equal to zero and attempt to solve:

Simplifying
b2 + a2 = 0

Reorder the terms:
a2 + b2 = 0

Solving
a2 + b2 = 0

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

Add '-1b2' to each side of the equation.
a2 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
a2 + 0 = 0 + -1b2
a2 = 0 + -1b2
Remove the zero:
a2 = -1b2

Simplifying
a2 = -1b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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