t^3(t-2)=0

Solution for t^3(t-2)=0 equation:

Simplifying
t3(t + -2) = 0

Reorder the terms:
t3(-2 + t) = 0
(-2 * t3 + t * t3) = 0
(-2t3 + t4) = 0

Solving
-2t3 + t4 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't3'.
t3(-2 + t) = 0

Subproblem 1
Set the factor 't3' equal to zero and attempt to solve:

Simplifying
t3 = 0

Solving
t3 = 0

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

Simplifying
t3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-2 + t)' equal to zero and attempt to solve:

Simplifying
-2 + t = 0

Solving
-2 + t = 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 + t = 0 + 2

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

Combine like terms: 0 + 2 = 2
t = 2

Simplifying
t = 2
Solution
t = {2}