t^2-14t=0

Solution for t^2-14t=0 equation:

Simplifying
t2 + -14t = 0

Reorder the terms:
-14t + t2 = 0

Solving
-14t + t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-14 + 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 '(-14 + t)' equal to zero and attempt to solve:

Simplifying
-14 + t = 0

Solving
-14 + t = 0

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

Add '14' to each side of the equation.
-14 + 14 + t = 0 + 14

Combine like terms: -14 + 14 = 0
0 + t = 0 + 14
t = 0 + 14

Combine like terms: 0 + 14 = 14
t = 14

Simplifying
t = 14
Solution
t = {0, 14}