k^2+19k=-18

Solution for k^2+19k=-18 equation:

Simplifying
k2 + 19k = -18

Reorder the terms:
19k + k2 = -18

Solving
19k + k2 = -18

Solving for variable 'k'.

Reorder the terms:
18 + 19k + k2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 19k + k2 = 0

Factor a trinomial.
(18 + k)(1 + k) = 0

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

Simplifying
18 + k = 0

Solving
18 + k = 0

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

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

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

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

Simplifying
k = -18
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

Add '-1' to each side of the equation.
1 + -1 + k = 0 + -1

Combine like terms: 1 + -1 = 0
0 + k = 0 + -1
k = 0 + -1

Combine like terms: 0 + -1 = -1
k = -1

Simplifying
k = -1
Solution
k = {-18, -1}