t^7-9t^5=

Solution for t^7-9t^5= equation:

Simplifying
t7 + -9t5 = 0

Reorder the terms:
-9t5 + t7 = 0

Solving
-9t5 + t7 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't5'.
t5(-9 + t2) = 0

Factor a difference between two squares.
t5((3 + t)(-3 + t)) = 0

Subproblem 1
Set the factor 't5' equal to zero and attempt to solve:

Simplifying
t5 = 0

Solving
t5 = 0

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

Simplifying
t5 = 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 '(3 + t)' equal to zero and attempt to solve:

Simplifying
3 + t = 0

Solving
3 + t = 0

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

Add '-3' to each side of the equation.
3 + -3 + t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + t = 0 + -3
t = 0 + -3

Combine like terms: 0 + -3 = -3
t = -3

Simplifying
t = -3
Subproblem 3
Set the factor '(-3 + t)' equal to zero and attempt to solve:

Simplifying
-3 + t = 0

Solving
-3 + t = 0

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

Add '3' to each side of the equation.
-3 + 3 + t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + t = 0 + 3
t = 0 + 3

Combine like terms: 0 + 3 = 3
t = 3

Simplifying
t = 3
Solution
t = {-3, 3}