x(x+18)=-80

Solution for x(x+18)=-80 equation:

Simplifying
x(x + 18) = -80

Reorder the terms:
x(18 + x) = -80
(18 * x + x * x) = -80
(18x + x2) = -80

Solving
18x + x2 = -80

Solving for variable 'x'.

Reorder the terms:
80 + 18x + x2 = -80 + 80

Combine like terms: -80 + 80 = 0
80 + 18x + x2 = 0

Factor a trinomial.
(10 + x)(8 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {-10, -8}