t^2-27t=0

Solution for t^2-27t=0 equation:

Simplifying
t2 + -27t = 0

Reorder the terms:
-27t + t2 = 0

Solving
-27t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-27 + 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 '(-27 + t)' equal to zero and attempt to solve:

Simplifying
-27 + t = 0

Solving
-27 + t = 0

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

Add '27' to each side of the equation.
-27 + 27 + t = 0 + 27

Combine like terms: -27 + 27 = 0
0 + t = 0 + 27
t = 0 + 27

Combine like terms: 0 + 27 = 27
t = 27

Simplifying
t = 27
Solution
t = {0, 27}