2(s+2)(s-4)=0

Solution for 2(s+2)(s-4)=0 equation:

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

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

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

Multiply (2 + s) * (-4 + s)
2(2(-4 + s) + s(-4 + s)) = 0
2((-4 * 2 + s * 2) + s(-4 + s)) = 0
2((-8 + 2s) + s(-4 + s)) = 0
2(-8 + 2s + (-4 * s + s * s)) = 0
2(-8 + 2s + (-4s + s2)) = 0

Combine like terms: 2s + -4s = -2s
2(-8 + -2s + s2) = 0
(-8 * 2 + -2s * 2 + s2 * 2) = 0
(-16 + -4s + 2s2) = 0

Solving
-16 + -4s + 2s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -2s + s2) = 0

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

Ignore the factor 2.
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}