(x+3)(x+9)=

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

Simplifying
(x + 3)(x + 9) = 0

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

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

Multiply (3 + x) * (9 + x)
(3(9 + x) + x(9 + x)) = 0
((9 * 3 + x * 3) + x(9 + x)) = 0
((27 + 3x) + x(9 + x)) = 0
(27 + 3x + (9 * x + x * x)) = 0
(27 + 3x + (9x + x2)) = 0

Combine like terms: 3x + 9x = 12x
(27 + 12x + x2) = 0

Solving
27 + 12x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + x)(3 + 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-9, -3}