8s^4-32=

Solution for 8s^4-32= equation:

Simplifying
8s4 + -32 = 0

Reorder the terms:
-32 + 8s4 = 0

Solving
-32 + 8s4 = 0

Solving for variable 's'.

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

Add '32' to each side of the equation.
-32 + 32 + 8s4 = 0 + 32

Combine like terms: -32 + 32 = 0
0 + 8s4 = 0 + 32
8s4 = 0 + 32

Combine like terms: 0 + 32 = 32
8s4 = 32

Divide each side by '8'.
s4 = 4

Simplifying
s4 = 4

Reorder the terms:
-4 + s4 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + s4 = 0

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

Subproblem 1
Set the factor '(2 + s2)' equal to zero and attempt to solve:

Simplifying
2 + s2 = 0

Solving
2 + s2 = 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 + s2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + s2 = 0 + -2
s2 = 0 + -2

Combine like terms: 0 + -2 = -2
s2 = -2

Simplifying
s2 = -2

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 '(-2 + s2)' equal to zero and attempt to solve:

Simplifying
-2 + s2 = 0

Solving
-2 + s2 = 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 + s2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + s2 = 0 + 2
s2 = 0 + 2

Combine like terms: 0 + 2 = 2
s2 = 2

Simplifying
s2 = 2

Take the square root of each side:
s = {-1.414213562, 1.414213562}
Solution
s = {-1.414213562, 1.414213562}