s^2+12s=-27

Solution for s^2+12s=-27 equation:

Simplifying
s2 + 12s = -27

Reorder the terms:
12s + s2 = -27

Solving
12s + s2 = -27

Solving for variable 's'.

Reorder the terms:
27 + 12s + s2 = -27 + 27

Combine like terms: -27 + 27 = 0
27 + 12s + s2 = 0

Factor a trinomial.
(9 + s)(3 + s) = 0

Subproblem 1
Set the factor '(9 + s)' equal to zero and attempt to solve:

Simplifying
9 + s = 0

Solving
9 + s = 0

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

Add '-9' to each side of the equation.
9 + -9 + s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + s = 0 + -9
s = 0 + -9

Combine like terms: 0 + -9 = -9
s = -9

Simplifying
s = -9
Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 0

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

Add '-3' to each side of the equation.
3 + -3 + s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + s = 0 + -3
s = 0 + -3

Combine like terms: 0 + -3 = -3
s = -3

Simplifying
s = -3
Solution
s = {-9, -3}