ax^3-27a=

Solution for ax^3-27a= equation:

Simplifying
ax3 + -27a = 0

Reorder the terms:
-27a + ax3 = 0

Solving
-27a + ax3 = 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), 'a'.
a(-27 + x3) = 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 '(-27 + x3)' equal to zero and attempt to solve:

Simplifying
-27 + x3 = 0

Solving
-27 + x3 = 0

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

Add '27' to each side of the equation.
-27 + 27 + x3 = 0 + 27

Combine like terms: -27 + 27 = 0
0 + x3 = 0 + 27
x3 = 0 + 27

Combine like terms: 0 + 27 = 27
x3 = 27

Add '-1x3' to each side of the equation.
x3 + -1x3 = 27 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 27 + -1x3

Simplifying
0 = 27 + -1x3

The solution to this equation could not be determined.

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