x(x+18)+20(x+18)=

Solution for x(x+18)+20(x+18)= equation:

Simplifying
x(x + 18) + 20(x + 18) = 0

Reorder the terms:
x(18 + x) + 20(x + 18) = 0
(18 * x + x * x) + 20(x + 18) = 0
(18x + x2) + 20(x + 18) = 0

Reorder the terms:
18x + x2 + 20(18 + x) = 0
18x + x2 + (18 * 20 + x * 20) = 0
18x + x2 + (360 + 20x) = 0

Reorder the terms:
360 + 18x + 20x + x2 = 0

Combine like terms: 18x + 20x = 38x
360 + 38x + x2 = 0

Solving
360 + 38x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Subproblem 2
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
Solution
x = {-20, -18}