t+t^3=0

Solution for t+t^3=0 equation:

Simplifying
t + t3 = 0

Solving
t + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(1 + t2) = 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 + t2)' equal to zero and attempt to solve:

Simplifying
1 + t2 = 0

Solving
1 + t2 = 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 + t2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + t2 = 0 + -1
t2 = 0 + -1

Combine like terms: 0 + -1 = -1
t2 = -1

Simplifying
t2 = -1

The solution to this equation could not be determined.

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