t^5-t^4=0

Solution for t^5-t^4=0 equation:

Simplifying
t5 + -1t4 = 0

Reorder the terms:
-1t4 + t5 = 0

Solving
-1t4 + t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't4'.
t4(-1 + t) = 0

Subproblem 1
Set the factor 't4' equal to zero and attempt to solve:

Simplifying
t4 = 0

Solving
t4 = 0

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

Simplifying
t4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + t)' equal to zero and attempt to solve:

Simplifying
-1 + t = 0

Solving
-1 + t = 0

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

Add '1' to each side of the equation.
-1 + 1 + t = 0 + 1

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

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

Simplifying
t = 1
Solution
t = {1}