t(2t-14)=0

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

Simplifying
t(2t + -14) = 0

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

Solving
-14t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-7 + 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 '(-7 + t)' equal to zero and attempt to solve:

Simplifying
-7 + t = 0

Solving
-7 + t = 0

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

Add '7' to each side of the equation.
-7 + 7 + t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + t = 0 + 7
t = 0 + 7

Combine like terms: 0 + 7 = 7
t = 7

Simplifying
t = 7
Solution
t = {0, 7}