a^5b-a=0

Solution for a^5b-a=0 equation:

Simplifying
a5b + -1a = 0

Reorder the terms:
-1a + a5b = 0

Solving
-1a + a5b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + a4b) = 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 '(-1 + a4b)' equal to zero and attempt to solve:

Simplifying
-1 + a4b = 0

Solving
-1 + a4b = 0

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

Add '1' to each side of the equation.
-1 + 1 + a4b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + a4b = 0 + 1
a4b = 0 + 1

Combine like terms: 0 + 1 = 1
a4b = 1

Divide each side by 'b'.
a4 = b-1

Simplifying
a4 = b-1

The solution to this equation could not be determined.

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