[(2s-6)+2][(2s-6)-2]=

Solution for [(2s-6)+2][(2s-6)-2]= equation:

Simplifying
[(2s + -6) + 2][(2s + -6) + -2] = 0

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

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

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

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

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

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

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

Combine like terms: -6 + -2 = -8
[-4 + 2s][-8 + 2s] = 0

Multiply [-4 + 2s] * [-8 + 2s]
[-4[-8 + 2s] + 2s * [-8 + 2s]] = 0
[[-8 * -4 + 2s * -4] + 2s * [-8 + 2s]] = 0
[[32 + -8s] + 2s * [-8 + 2s]] = 0
[32 + -8s + [-8 * 2s + 2s * 2s]] = 0
[32 + -8s + [-16s + 4s2]] = 0

Combine like terms: -8s + -16s = -24s
[32 + -24s + 4s2] = 0

Solving
32 + -24s + 4s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -6s + s2) = 0

Factor a trinomial.
4((2 + -1s)(4 + -1s)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve:

Simplifying
4 + -1s = 0

Solving
4 + -1s = 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 + -1s = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1s = 0 + -4
-1s = 0 + -4

Combine like terms: 0 + -4 = -4
-1s = -4

Divide each side by '-1'.
s = 4

Simplifying
s = 4
Solution
s = {2, 4}