t^5+3t^4=

Solution for t^5+3t^4= equation:

Simplifying
t5 + 3t4 = 0

Reorder the terms:
3t4 + t5 = 0

Solving
3t4 + t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't4'.
t4(3 + t) = 0

Subproblem 1
Set the factor 't4' equal to zero and attempt to solve:

Simplifying
t4 = 0

Solving
t4 = 0

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

Simplifying
t4 = 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
Solution
t = {-3}