x^8n-16y^4n=

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Solution for x^8n-16y^4n= equation: 


Simplifying
x8n + -16y4n = 0

Solving
nx8 + -16ny4 = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(x8 + -16y4) = 0

Factor a difference between two squares.
n((x4 + 4y2)(x4 + -4y2)) = 0

Factor a difference between two squares.
n((x4 + 4y2)((x2 + 2y)(x2 + -2y))) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(x4 + 4y2)' equal to zero and attempt to solve:

Simplifying
x4 + 4y2 = 0

Solving
x4 + 4y2 = 0

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

Add '-1x4' to each side of the equation.
x4 + -1x4 + 4y2 = 0 + -1x4

Combine like terms: x4 + -1x4 = 0
0 + 4y2 = 0 + -1x4
4y2 = 0 + -1x4
Remove the zero:
4y2 = -1x4

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -1x4 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -1x4 + -4y2

Simplifying
0 = -1x4 + -4y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(x2 + 2y)' equal to zero and attempt to solve:

Simplifying
x2 + 2y = 0

Solving
x2 + 2y = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + 2y = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 2y = 0 + -1x2
2y = 0 + -1x2
Remove the zero:
2y = -1x2

Add '-2y' to each side of the equation.
2y + -2y = -1x2 + -2y

Combine like terms: 2y + -2y = 0
0 = -1x2 + -2y

Simplifying
0 = -1x2 + -2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 4
Set the factor '(x2 + -2y)' equal to zero and attempt to solve:

Simplifying
x2 + -2y = 0

Solving
x2 + -2y = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + -2y = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -2y = 0 + -1x2
-2y = 0 + -1x2
Remove the zero:
-2y = -1x2

Add '2y' to each side of the equation.
-2y + 2y = -1x2 + 2y

Combine like terms: -2y + 2y = 0
0 = -1x2 + 2y

Simplifying
0 = -1x2 + 2y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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