0=-2t(t-14)

Solution for 0=-2t(t-14) equation:

Simplifying
0 = -2t(t + -14)

Reorder the terms:
0 = -2t(-14 + t)
0 = (-14 * -2t + t * -2t)
0 = (28t + -2t2)

Solving
0 = 28t + -2t2

Solving for variable 't'.
Remove the zero:
-28t + 2t2 = 28t + -2t2 + -28t + 2t2

Reorder the terms:
-28t + 2t2 = 28t + -28t + -2t2 + 2t2

Combine like terms: 28t + -28t = 0
-28t + 2t2 = 0 + -2t2 + 2t2
-28t + 2t2 = -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
-28t + 2t2 = 0

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-14 + t) = 0

Ignore the factor 2.
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}