(t+14)(t-16)=0

Solution for (t+14)(t-16)=0 equation:

Simplifying
(t + 14)(t + -16) = 0

Reorder the terms:
(14 + t)(t + -16) = 0

Reorder the terms:
(14 + t)(-16 + t) = 0

Multiply (14 + t) * (-16 + t)
(14(-16 + t) + t(-16 + t)) = 0
((-16 * 14 + t * 14) + t(-16 + t)) = 0
((-224 + 14t) + t(-16 + t)) = 0
(-224 + 14t + (-16 * t + t * t)) = 0
(-224 + 14t + (-16t + t2)) = 0

Combine like terms: 14t + -16t = -2t
(-224 + -2t + t2) = 0

Solving
-224 + -2t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-14 + -1t)(16 + -1t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(16 + -1t)' equal to zero and attempt to solve:

Simplifying
16 + -1t = 0

Solving
16 + -1t = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1t = 0 + -16
-1t = 0 + -16

Combine like terms: 0 + -16 = -16
-1t = -16

Divide each side by '-1'.
t = 16

Simplifying
t = 16
Solution
t = {-14, 16}