(x+9)(x+2)=

Solution for (x+9)(x+2)= equation:

Simplifying
(x + 9)(x + 2) = 0

Reorder the terms:
(9 + x)(x + 2) = 0

Reorder the terms:
(9 + x)(2 + x) = 0

Multiply (9 + x) * (2 + x)
(9(2 + x) + x(2 + x)) = 0
((2 * 9 + x * 9) + x(2 + x)) = 0
((18 + 9x) + x(2 + x)) = 0
(18 + 9x + (2 * x + x * x)) = 0
(18 + 9x + (2x + x2)) = 0

Combine like terms: 9x + 2x = 11x
(18 + 11x + x2) = 0

Solving
18 + 11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-9, -2}