(x+5)(x+8)=

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

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

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

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

Multiply (5 + x) * (8 + x)
(5(8 + x) + x(8 + x)) = 0
((8 * 5 + x * 5) + x(8 + x)) = 0
((40 + 5x) + x(8 + x)) = 0
(40 + 5x + (8 * x + x * x)) = 0
(40 + 5x + (8x + x2)) = 0

Combine like terms: 5x + 8x = 13x
(40 + 13x + x2) = 0

Solving
40 + 13x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

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

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

Simplifying
x = -8
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

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

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

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