a(a^2+2)=0

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

Simplifying
a(a2 + 2) = 0

Reorder the terms:
a(2 + a2) = 0
(2 * a + a2 * a) = 0
(2a + a3) = 0

Solving
2a + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(2 + 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 '(2 + a2)' equal to zero and attempt to solve:

Simplifying
2 + a2 = 0

Solving
2 + a2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + a2 = 0 + -2
a2 = 0 + -2

Combine like terms: 0 + -2 = -2
a2 = -2

Simplifying
a2 = -2

The solution to this equation could not be determined.

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