16x^8-y^8=0

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Solution for 16x^8-y^8=0 equation: 


Simplifying
16x8 + -1y8 = 0

Solving
16x8 + -1y8 = 0

Solving for variable 'x'.

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

Add 'y8' to each side of the equation.
16x8 + -1y8 + y8 = 0 + y8

Combine like terms: -1y8 + y8 = 0
16x8 + 0 = 0 + y8
16x8 = 0 + y8
Remove the zero:
16x8 = y8

Divide each side by '16'.
x8 = 0.0625y8

Simplifying
x8 = 0.0625y8

Combine like terms: 0.0625y8 + -0.0625y8 = 0.0000
x8 + -0.0625y8 = 0.0000

Factor a difference between two squares.
(x4 + 0.25y4)(x4 + -0.25y4) = 0.0000

Factor a difference between two squares.
(x4 + 0.25y4)((x2 + 0.5y2)(x2 + -0.5y2)) = 0.0000


Subproblem 1
Set the factor '(x4 + 0.25y4)' equal to zero and attempt to solve:

Simplifying
x4 + 0.25y4 = 0

Solving
x4 + 0.25y4 = 0

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

Add '-0.25y4' to each side of the equation.
x4 + 0.25y4 + -0.25y4 = 0 + -0.25y4

Combine like terms: 0.25y4 + -0.25y4 = 0.00
x4 + 0.00 = 0 + -0.25y4
x4 = 0 + -0.25y4
Remove the zero:
x4 = -0.25y4

Simplifying
x4 = -0.25y4

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 '(x2 + 0.5y2)' equal to zero and attempt to solve:

Simplifying
x2 + 0.5y2 = 0

Solving
x2 + 0.5y2 = 0

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

Add '-0.5y2' to each side of the equation.
x2 + 0.5y2 + -0.5y2 = 0 + -0.5y2

Combine like terms: 0.5y2 + -0.5y2 = 0.0
x2 + 0.0 = 0 + -0.5y2
x2 = 0 + -0.5y2
Remove the zero:
x2 = -0.5y2

Simplifying
x2 = -0.5y2

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 + -0.5y2)' equal to zero and attempt to solve:

Simplifying
x2 + -0.5y2 = 0

Solving
x2 + -0.5y2 = 0

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

Add '0.5y2' to each side of the equation.
x2 + -0.5y2 + 0.5y2 = 0 + 0.5y2

Combine like terms: -0.5y2 + 0.5y2 = 0.0
x2 + 0.0 = 0 + 0.5y2
x2 = 0 + 0.5y2
Remove the zero:
x2 = 0.5y2

Simplifying
x2 = 0.5y2

Take the square root of each side:
x = {-0.707106781y, 0.707106781y}
Solution
x = {-0.707106781y, 0.707106781y}

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