(s+4)(s+4)=-2s

Solution for (s+4)(s+4)=-2s equation:

Simplifying
(s + 4)(s + 4) = -2s

Reorder the terms:
(4 + s)(s + 4) = -2s

Reorder the terms:
(4 + s)(4 + s) = -2s

Multiply (4 + s) * (4 + s)
(4(4 + s) + s(4 + s)) = -2s
((4 * 4 + s * 4) + s(4 + s)) = -2s
((16 + 4s) + s(4 + s)) = -2s
(16 + 4s + (4 * s + s * s)) = -2s
(16 + 4s + (4s + s2)) = -2s

Combine like terms: 4s + 4s = 8s
(16 + 8s + s2) = -2s

Solving
16 + 8s + s2 = -2s

Solving for variable 's'.

Reorder the terms:
16 + 8s + 2s + s2 = -2s + 2s

Combine like terms: 8s + 2s = 10s
16 + 10s + s2 = -2s + 2s

Combine like terms: -2s + 2s = 0
16 + 10s + s2 = 0

Factor a trinomial.
(8 + s)(2 + 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 '(2 + s)' equal to zero and attempt to solve:

Simplifying
2 + s = 0

Solving
2 + s = 0

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

Add '-2' to each side of the equation.
2 + -2 + s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + s = 0 + -2
s = 0 + -2

Combine like terms: 0 + -2 = -2
s = -2

Simplifying
s = -2
Solution
s = {-8, -2}