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

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

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

Reorder the terms for easier multiplication:
x(4 + 2s)(-2 + 4s) = 0

Multiply (4 + 2s) * (-2 + 4s)
x(4(-2 + 4s) + 2s * (-2 + 4s)) = 0
x((-2 * 4 + 4s * 4) + 2s * (-2 + 4s)) = 0
x((-8 + 16s) + 2s * (-2 + 4s)) = 0
x(-8 + 16s + (-2 * 2s + 4s * 2s)) = 0
x(-8 + 16s + (-4s + 8s2)) = 0

Combine like terms: 16s + -4s = 12s
x(-8 + 12s + 8s2) = 0
(-8 * x + 12s * x + 8s2 * x) = 0

Reorder the terms:
(12sx + 8s2x + -8x) = 0
(12sx + 8s2x + -8x) = 0

Solving
12sx + 8s2x + -8x = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(3s + 2s2 + -2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(2s + -1)' equal to zero and attempt to solve:

Simplifying
2s + -1 = 0

Reorder the terms:
-1 + 2s = 0

Solving
-1 + 2s = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2s = 0 + 1

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

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

Divide each side by '2'.
s = 0.5

Simplifying
s = 0.5
Subproblem 3
Set the factor '(s + 2)' equal to zero and attempt to solve:

Simplifying
s + 2 = 0

Reorder the terms:
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 = {0.5, -2}