a^2(b+5)=0

Solution for a^2(b+5)=0 equation:

Simplifying
a2(b + 5) = 0

Reorder the terms:
a2(5 + b) = 0
(5 * a2 + b * a2) = 0
(5a2 + a2b) = 0

Solving
5a2 + a2b = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(5 + b) = 0

Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(5 + b)' equal to zero and attempt to solve:

Simplifying
5 + b = 0

Solving
5 + b = 0

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

Add '-5' to each side of the equation.
5 + -5 + b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + b = 0 + -5
b = 0 + -5

Combine like terms: 0 + -5 = -5
b = -5

Add '-1b' to each side of the equation.
b + -1b = -5 + -1b

Combine like terms: b + -1b = 0
0 = -5 + -1b

Simplifying
0 = -5 + -1b

The solution to this equation could not be determined.

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