(t+6)(t-14)=0

Solution for (t+6)(t-14)=0 equation:

Simplifying
(t + 6)(t + -14) = 0

Reorder the terms:
(6 + t)(t + -14) = 0

Reorder the terms:
(6 + t)(-14 + t) = 0

Multiply (6 + t) * (-14 + t)
(6(-14 + t) + t(-14 + t)) = 0
((-14 * 6 + t * 6) + t(-14 + t)) = 0
((-84 + 6t) + t(-14 + t)) = 0
(-84 + 6t + (-14 * t + t * t)) = 0
(-84 + 6t + (-14t + t2)) = 0

Combine like terms: 6t + -14t = -8t
(-84 + -8t + t2) = 0

Solving
-84 + -8t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -1t)(14 + -1t) = 0

Subproblem 1
Set the factor '(-6 + -1t)' equal to zero and attempt to solve:

Simplifying
-6 + -1t = 0

Solving
-6 + -1t = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1t = 0 + 6
-1t = 0 + 6

Combine like terms: 0 + 6 = 6
-1t = 6

Divide each side by '-1'.
t = -6

Simplifying
t = -6
Subproblem 2
Set the factor '(14 + -1t)' equal to zero and attempt to solve:

Simplifying
14 + -1t = 0

Solving
14 + -1t = 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 + -1t = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1t = 0 + -14
-1t = 0 + -14

Combine like terms: 0 + -14 = -14
-1t = -14

Divide each side by '-1'.
t = 14

Simplifying
t = 14
Solution
t = {-6, 14}