(x+3)(x+9)=-5

Solution for (x+3)(x+9)=-5 equation:

Simplifying
(x + 3)(x + 9) = -5

Reorder the terms:
(3 + x)(x + 9) = -5

Reorder the terms:
(3 + x)(9 + x) = -5

Multiply (3 + x) * (9 + x)
(3(9 + x) + x(9 + x)) = -5
((9 * 3 + x * 3) + x(9 + x)) = -5
((27 + 3x) + x(9 + x)) = -5
(27 + 3x + (9 * x + x * x)) = -5
(27 + 3x + (9x + x2)) = -5

Combine like terms: 3x + 9x = 12x
(27 + 12x + x2) = -5

Solving
27 + 12x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
27 + 5 + 12x + x2 = -5 + 5

Combine like terms: 27 + 5 = 32
32 + 12x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
32 + 12x + x2 = 0

Factor a trinomial.
(8 + x)(4 + 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-8, -4}