t^4+t^3+3t^2+t=0

Solution for t^4+t^3+3t^2+t=0 equation:

Simplifying
t4 + t3 + 3t2 + t = 0

Reorder the terms:
t + 3t2 + t3 + t4 = 0

Solving
t + 3t2 + t3 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(1 + 3t + t2 + t3) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(1 + 3t + t2 + t3)' equal to zero and attempt to solve:

Simplifying
1 + 3t + t2 + t3 = 0

Solving
1 + 3t + t2 + t3 = 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}