T^2=-5T

Solution for T^2=-5T equation:

Simplifying
T2 = -5T

Solving
T2 = -5T

Solving for variable 'T'.

Reorder the terms:
5T + T2 = -5T + 5T

Combine like terms: -5T + 5T = 0
5T + T2 = 0

Factor out the Greatest Common Factor (GCF), 'T'.
T(5 + 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 '(5 + T)' equal to zero and attempt to solve:

Simplifying
5 + T = 0

Solving
5 + T = 0

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

Add '-5' to each side of the equation.
5 + -5 + T = 0 + -5

Combine like terms: 5 + -5 = 0
0 + T = 0 + -5
T = 0 + -5

Combine like terms: 0 + -5 = -5
T = -5

Simplifying
T = -5
Solution
T = {0, -5}