(x+9)(x+5)=0

Solution for (x+9)(x+5)=0 equation:

Simplifying
(x + 9)(x + 5) = 0

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

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

Multiply (9 + x) * (5 + x)
(9(5 + x) + x(5 + x)) = 0
((5 * 9 + x * 9) + x(5 + x)) = 0
((45 + 9x) + x(5 + x)) = 0
(45 + 9x + (5 * x + x * x)) = 0
(45 + 9x + (5x + x2)) = 0

Combine like terms: 9x + 5x = 14x
(45 + 14x + x2) = 0

Solving
45 + 14x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9
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 = {-9, -5}