t((t^2)+2)=0

Solution for t((t^2)+2)=0 equation:

Simplifying
t((t2) + 2) = 0
t(t2 + 2) = 0

Reorder the terms:
t(2 + t2) = 0
(2 * t + t2 * t) = 0
(2t + t3) = 0

Solving
2t + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(2 + 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 '(2 + t2)' equal to zero and attempt to solve:

Simplifying
2 + t2 = 0

Solving
2 + t2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t2 = 0 + -2
t2 = 0 + -2

Combine like terms: 0 + -2 = -2
t2 = -2

Simplifying
t2 = -2

The solution to this equation could not be determined.

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