19a^5-18a^4=a

Solution for 19a^5-18a^4=a equation:

Simplifying
19a5 + -18a4 = a

Reorder the terms:
-18a4 + 19a5 = a

Solving
-18a4 + 19a5 = a

Solving for variable 'a'.

Reorder the terms:
-1a + -18a4 + 19a5 = a + -1a

Combine like terms: a + -1a = 0
-1a + -18a4 + 19a5 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + -18a3 + 19a4) = 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 + -18a3 + 19a4)' equal to zero and attempt to solve:

Simplifying
-1 + -18a3 + 19a4 = 0

Solving
-1 + -18a3 + 19a4 = 0

The solution to this equation could not be determined.

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