t^7-t^2=

Solution for t^7-t^2= equation:

Simplifying
t7 + -1t2 = 0

Reorder the terms:
-1t2 + t7 = 0

Solving
-1t2 + t7 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-1 + t5) = 0

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
Set the factor '(-1 + t5)' equal to zero and attempt to solve:

Simplifying
-1 + t5 = 0

Solving
-1 + t5 = 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 + t5 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + t5 = 0 + 1
t5 = 0 + 1

Combine like terms: 0 + 1 = 1
t5 = 1

Simplifying
t5 = 1

The solution to this equation could not be determined.

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