3a=ax^3

Solution for 3a=ax^3 equation:

Simplifying
3a = ax3

Solving
3a = ax3

Solving for variable 'a'.

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

Add '-1ax3' to each side of the equation.
3a + -1ax3 = ax3 + -1ax3

Combine like terms: ax3 + -1ax3 = 0
3a + -1ax3 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(3 + -1x3) = 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 '(3 + -1x3)' equal to zero and attempt to solve:

Simplifying
3 + -1x3 = 0

Solving
3 + -1x3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x3 = 0 + -3
-1x3 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x3 = -3

Add 'x3' to each side of the equation.
-1x3 + x3 = -3 + x3

Combine like terms: -1x3 + x3 = 0
0 = -3 + x3

Simplifying
0 = -3 + x3

The solution to this equation could not be determined.

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