r^2+18r+12=-5

Solution for r^2+18r+12=-5 equation:

Simplifying
r2 + 18r + 12 = -5

Reorder the terms:
12 + 18r + r2 = -5

Solving
12 + 18r + r2 = -5

Solving for variable 'r'.

Reorder the terms:
12 + 5 + 18r + r2 = -5 + 5

Combine like terms: 12 + 5 = 17
17 + 18r + r2 = -5 + 5

Combine like terms: -5 + 5 = 0
17 + 18r + r2 = 0

Factor a trinomial.
(17 + r)(1 + r) = 0

Subproblem 1
Set the factor '(17 + r)' equal to zero and attempt to solve:

Simplifying
17 + r = 0

Solving
17 + r = 0

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

Add '-17' to each side of the equation.
17 + -17 + r = 0 + -17

Combine like terms: 17 + -17 = 0
0 + r = 0 + -17
r = 0 + -17

Combine like terms: 0 + -17 = -17
r = -17

Simplifying
r = -17
Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve:

Simplifying
1 + r = 0

Solving
1 + r = 0

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

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

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

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

Simplifying
r = -1
Solution
r = {-17, -1}