32s^4-8s^2=

Solution for 32s^4-8s^2= equation:

Simplifying
32s4 + -8s2 = 0

Reorder the terms:
-8s2 + 32s4 = 0

Solving
-8s2 + 32s4 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '8s2'.
8s2(-1 + 4s2) = 0

Factor a difference between two squares.
8s2((1 + 2s)(-1 + 2s)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor 's2' equal to zero and attempt to solve:

Simplifying
s2 = 0

Solving
s2 = 0

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

Simplifying
s2 = 0

Take the square root of each side:
s = {0}
Subproblem 2
Set the factor '(1 + 2s)' equal to zero and attempt to solve:

Simplifying
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 '(-1 + 2s)' equal to zero and attempt to solve:

Simplifying
-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
Solution
s = {0, -0.5, 0.5}