-10t^5+13t^4+9t^3=

Solution for -10t^5+13t^4+9t^3= equation:

Simplifying
-10t5 + 13t4 + 9t3 = 0

Reorder the terms:
9t3 + 13t4 + -10t5 = 0

Solving
9t3 + 13t4 + -10t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't3'.
t3(9 + 13t + -10t2) = 0

Factor a trinomial.
t3((9 + -5t)(1 + 2t)) = 0

Subproblem 1
Set the factor 't3' equal to zero and attempt to solve:

Simplifying
t3 = 0

Solving
t3 = 0

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

Simplifying
t3 = 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 '(9 + -5t)' equal to zero and attempt to solve:

Simplifying
9 + -5t = 0

Solving
9 + -5t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5t = 0 + -9
-5t = 0 + -9

Combine like terms: 0 + -9 = -9
-5t = -9

Divide each side by '-5'.
t = 1.8

Simplifying
t = 1.8
Subproblem 3
Set the factor '(1 + 2t)' equal to zero and attempt to solve:

Simplifying
1 + 2t = 0

Solving
1 + 2t = 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 + 2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 0 + -1
2t = 0 + -1

Combine like terms: 0 + -1 = -1
2t = -1

Divide each side by '2'.
t = -0.5

Simplifying
t = -0.5
Solution
t = {1.8, -0.5}