s^2+4s+8s+32=

Solution for s^2+4s+8s+32= equation:

Simplifying
s2 + 4s + 8s + 32 = 0

Reorder the terms:
32 + 4s + 8s + s2 = 0

Combine like terms: 4s + 8s = 12s
32 + 12s + s2 = 0

Solving
32 + 12s + s2 = 0

Solving for variable 's'.

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}