t^2(t+2)=0

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

Simplifying
t2(t + 2) = 0

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

Solving
2t2 + t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't2'.
t2(2 + t) = 0

Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
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 = {0, -2}