(x^2+9x+18)+(x+3)=

Solution for (x^2+9x+18)+(x+3)= equation:

Simplifying
(x2 + 9x + 18) + (x + 3) = 0

Reorder the terms:
(18 + 9x + x2) + (x + 3) = 0

Remove parenthesis around (18 + 9x + x2)
18 + 9x + x2 + (x + 3) = 0

Reorder the terms:
18 + 9x + x2 + (3 + x) = 0

Remove parenthesis around (3 + x)
18 + 9x + x2 + 3 + x = 0

Reorder the terms:
18 + 3 + 9x + x + x2 = 0

Combine like terms: 18 + 3 = 21
21 + 9x + x + x2 = 0

Combine like terms: 9x + x = 10x
21 + 10x + x2 = 0

Solving
21 + 10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x)(3 + x) = 0

Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
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 = {-7, -3}