t^2=12t

Solution for t^2=12t equation:

Simplifying
t2 = 12t

Solving
t2 = 12t

Solving for variable 't'.

Reorder the terms:
-12t + t2 = 12t + -12t

Combine like terms: 12t + -12t = 0
-12t + t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-12 + 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 '(-12 + t)' equal to zero and attempt to solve:

Simplifying
-12 + t = 0

Solving
-12 + t = 0

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

Add '12' to each side of the equation.
-12 + 12 + t = 0 + 12

Combine like terms: -12 + 12 = 0
0 + t = 0 + 12
t = 0 + 12

Combine like terms: 0 + 12 = 12
t = 12

Simplifying
t = 12
Solution
t = {0, 12}