9t^5+3t^3+6t^2=0

Solution for 9t^5+3t^3+6t^2=0 equation:

Simplifying
9t5 + 3t3 + 6t2 = 0

Reorder the terms:
6t2 + 3t3 + 9t5 = 0

Solving
6t2 + 3t3 + 9t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t2'.
3t2(2 + t + 3t3) = 0

Ignore the factor 3.
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 '(2 + t + 3t3)' equal to zero and attempt to solve:

Simplifying
2 + t + 3t3 = 0

Solving
2 + t + 3t3 = 0

The solution to this equation could not be determined.

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