t^3+36t=

Solution for t^3+36t= equation:

Simplifying
t3 + 36t = 0

Reorder the terms:
36t + t3 = 0

Solving
36t + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(36 + 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 '(36 + t2)' equal to zero and attempt to solve:

Simplifying
36 + t2 = 0

Solving
36 + t2 = 0

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

Add '-36' to each side of the equation.
36 + -36 + t2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + t2 = 0 + -36
t2 = 0 + -36

Combine like terms: 0 + -36 = -36
t2 = -36

Simplifying
t2 = -36

The solution to this equation could not be determined.

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