(x+8)(x+9)=0

Solution for (x+8)(x+9)=0 equation:

Simplifying
(x + 8)(x + 9) = 0

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

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

Multiply (8 + x) * (9 + x)
(8(9 + x) + x(9 + x)) = 0
((9 * 8 + x * 8) + x(9 + x)) = 0
((72 + 8x) + x(9 + x)) = 0
(72 + 8x + (9 * x + x * x)) = 0
(72 + 8x + (9x + x2)) = 0

Combine like terms: 8x + 9x = 17x
(72 + 17x + x2) = 0

Solving
72 + 17x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(8 + 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 '(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
Solution
x = {-9, -8}