(t+8)(t+5)=

Solution for (t+8)(t+5)= equation:

Simplifying
(t + 8)(t + 5) = 0

Reorder the terms:
(8 + t)(t + 5) = 0

Reorder the terms:
(8 + t)(5 + t) = 0

Multiply (8 + t) * (5 + t)
(8(5 + t) + t(5 + t)) = 0
((5 * 8 + t * 8) + t(5 + t)) = 0
((40 + 8t) + t(5 + t)) = 0
(40 + 8t + (5 * t + t * t)) = 0
(40 + 8t + (5t + t2)) = 0

Combine like terms: 8t + 5t = 13t
(40 + 13t + t2) = 0

Solving
40 + 13t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(8 + t)(5 + t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + t)' equal to zero and attempt to solve:

Simplifying
5 + t = 0

Solving
5 + t = 0

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

Add '-5' to each side of the equation.
5 + -5 + t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + t = 0 + -5
t = 0 + -5

Combine like terms: 0 + -5 = -5
t = -5

Simplifying
t = -5
Solution
t = {-8, -5}