(x+6)(x+18)=0

Solution for (x+6)(x+18)=0 equation:

Simplifying
(x + 6)(x + 18) = 0

Reorder the terms:
(6 + x)(x + 18) = 0

Reorder the terms:
(6 + x)(18 + x) = 0

Multiply (6 + x) * (18 + x)
(6(18 + x) + x(18 + x)) = 0
((18 * 6 + x * 6) + x(18 + x)) = 0
((108 + 6x) + x(18 + x)) = 0
(108 + 6x + (18 * x + x * x)) = 0
(108 + 6x + (18x + x2)) = 0

Combine like terms: 6x + 18x = 24x
(108 + 24x + x2) = 0

Solving
108 + 24x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(18 + x)(6 + x) = 0

Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + x = 0 + -18
x = 0 + -18

Combine like terms: 0 + -18 = -18
x = -18

Simplifying
x = -18
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-18, -6}