(t+12)(t+8)=

Solution for (t+12)(t+8)= equation:

Simplifying
(t + 12)(t + 8) = 0

Reorder the terms:
(12 + t)(t + 8) = 0

Reorder the terms:
(12 + t)(8 + t) = 0

Multiply (12 + t) * (8 + t)
(12(8 + t) + t(8 + t)) = 0
((8 * 12 + t * 12) + t(8 + t)) = 0
((96 + 12t) + t(8 + t)) = 0
(96 + 12t + (8 * t + t * t)) = 0
(96 + 12t + (8t + t2)) = 0

Combine like terms: 12t + 8t = 20t
(96 + 20t + t2) = 0

Solving
96 + 20t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(12 + t)(8 + t) = 0

Subproblem 1
Set the factor '(12 + t)' equal to zero and attempt to solve:

Simplifying
12 + t = 0

Solving
12 + t = 0

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

Add '-12' to each side of the equation.
12 + -12 + t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + t = 0 + -12
t = 0 + -12

Combine like terms: 0 + -12 = -12
t = -12

Simplifying
t = -12
Subproblem 2
Set the factor '(8 + t)' equal to zero and attempt to solve:

Simplifying
8 + t = 0

Solving
8 + t = 0

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

Add '-8' to each side of the equation.
8 + -8 + t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + t = 0 + -8
t = 0 + -8

Combine like terms: 0 + -8 = -8
t = -8

Simplifying
t = -8
Solution
t = {-12, -8}