(9t^5)=(5t^2)

Solution for (9t^5)=(5t^2) equation:

Simplifying
(9t5) = (5t2)

Solving
(9t5) = (5t2)

Solving for variable 't'.

Reorder the terms:
(-5t2) + (9t5) = (5t2) + (-5t2)

Combine like terms: (5t2) + (-5t2) = 0
(-5t2) + (9t5) = 0

Factor out the Greatest Common Factor (GCF), 't2'.
t2(-5 + (9t3)) = 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 '(-5 + (9t3))' equal to zero and attempt to solve:

Simplifying
-5 + (9t3) = 0

Solving
-5 + (9t3) = 0

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

Add '5' to each side of the equation.
-5 + 5 + (9t3) = 0 + 5

Combine like terms: -5 + 5 = 0
0 + (9t3) = 0 + 5
(9t3) = 0 + 5

Combine like terms: 0 + 5 = 5
(9t3) = 5

Divide each side by '9'.
t3 = 0.5555555556

Simplifying
t3 = 0.5555555556

The solution to this equation could not be determined.

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