a^3-16a+28a=0

Solution for a^3-16a+28a=0 equation:

Simplifying
a3 + -16a + 28a = 0

Reorder the terms:
-16a + 28a + a3 = 0

Combine like terms: -16a + 28a = 12a
12a + a3 = 0

Solving
12a + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(12 + 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 '(12 + a2)' equal to zero and attempt to solve:

Simplifying
12 + a2 = 0

Solving
12 + a2 = 0

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

Add '-12' to each side of the equation.
12 + -12 + a2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + a2 = 0 + -12
a2 = 0 + -12

Combine like terms: 0 + -12 = -12
a2 = -12

Simplifying
a2 = -12

The solution to this equation could not be determined.

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