s(s+12)=-32

Solution for s(s+12)=-32 equation:

Simplifying
s(s + 12) = -32

Reorder the terms:
s(12 + s) = -32
(12 * s + s * s) = -32
(12s + s2) = -32

Solving
12s + s2 = -32

Solving for variable 's'.

Reorder the terms:
32 + 12s + s2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + 12s + s2 = 0

Factor a trinomial.
(8 + s)(4 + s) = 0

Subproblem 1
Set the factor '(8 + s)' equal to zero and attempt to solve:

Simplifying
8 + s = 0

Solving
8 + s = 0

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

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

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

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

Simplifying
s = -8
Subproblem 2
Set the factor '(4 + s)' equal to zero and attempt to solve:

Simplifying
4 + s = 0

Solving
4 + s = 0

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

Add '-4' to each side of the equation.
4 + -4 + s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s = 0 + -4
s = 0 + -4

Combine like terms: 0 + -4 = -4
s = -4

Simplifying
s = -4
Solution
s = {-8, -4}