t(t^2+5)=

Solution for t(t^2+5)= equation:

Simplifying
t(t2 + 5) = 0

Reorder the terms:
t(5 + t2) = 0
(5 * t + t2 * t) = 0
(5t + t3) = 0

Solving
5t + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(5 + 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 '(5 + t2)' equal to zero and attempt to solve:

Simplifying
5 + t2 = 0

Solving
5 + t2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + t2 = 0 + -5
t2 = 0 + -5

Combine like terms: 0 + -5 = -5
t2 = -5

Simplifying
t2 = -5

The solution to this equation could not be determined.

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