=t^3-3t

Solution for =t^3-3t equation:

Simplifying
0 = t3 + -3t

Reorder the terms:
0 = -3t + t3

Solving
0 = -3t + t3

Solving for variable 't'.
Remove the zero:
3t + -1t3 = -3t + t3 + 3t + -1t3

Reorder the terms:
3t + -1t3 = -3t + 3t + t3 + -1t3

Combine like terms: -3t + 3t = 0
3t + -1t3 = 0 + t3 + -1t3
3t + -1t3 = t3 + -1t3

Combine like terms: t3 + -1t3 = 0
3t + -1t3 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(3 + -1t2) = 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 '(3 + -1t2)' equal to zero and attempt to solve:

Simplifying
3 + -1t2 = 0

Solving
3 + -1t2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t2 = 0 + -3
-1t2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1t2 = -3

Divide each side by '-1'.
t2 = 3

Simplifying
t2 = 3

Take the square root of each side:
t = {-1.732050808, 1.732050808}
Solution
t = {0, -1.732050808, 1.732050808}