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}