t^2=-3t

Solution for t^2=-3t equation:

Simplifying
t2 = -3t

Solving
t2 = -3t

Solving for variable 't'.

Reorder the terms:
3t + t2 = -3t + 3t

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

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

Simplifying
3 + t = 0

Solving
3 + t = 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 + t = 0 + -3

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

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

Simplifying
t = -3
Solution
t = {0, -3}