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

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

Simplifying
[(s + 2) + 4][(s + 2) + -4] = 0

Reorder the terms:
[(2 + s) + 4][(s + 2) + -4] = 0

Remove parenthesis around (2 + s)
[2 + s + 4][(s + 2) + -4] = 0

Reorder the terms:
[2 + 4 + s][(s + 2) + -4] = 0

Combine like terms: 2 + 4 = 6
[6 + s][(s + 2) + -4] = 0

Reorder the terms:
[6 + s][(2 + s) + -4] = 0

Remove parenthesis around (2 + s)
[6 + s][2 + s + -4] = 0

Reorder the terms:
[6 + s][2 + -4 + s] = 0

Combine like terms: 2 + -4 = -2
[6 + s][-2 + s] = 0

Multiply [6 + s] * [-2 + s]
[6[-2 + s] + s[-2 + s]] = 0
[[-2 * 6 + s * 6] + s[-2 + s]] = 0
[[-12 + 6s] + s[-2 + s]] = 0
[-12 + 6s + [-2 * s + s * s]] = 0
[-12 + 6s + [-2s + s2]] = 0

Combine like terms: 6s + -2s = 4s
[-12 + 4s + s2] = 0

Solving
-12 + 4s + s2 = 0

Solving for variable 's'.

Factor a trinomial.
(-6 + -1s)(2 + -1s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(2 + -1s)' equal to zero and attempt to solve:

Simplifying
2 + -1s = 0

Solving
2 + -1s = 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 + -1s = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 0 + -2
-1s = 0 + -2

Combine like terms: 0 + -2 = -2
-1s = -2

Divide each side by '-1'.
s = 2

Simplifying
s = 2
Solution
s = {-6, 2}