x^16-y^14=0

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Solution for x^16-y^14=0 equation: 


Simplifying
x16 + -1y14 = 0

Solving
x16 + -1y14 = 0

Solving for variable 'x'.

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

Add 'y14' to each side of the equation.
x16 + -1y14 + y14 = 0 + y14

Combine like terms: -1y14 + y14 = 0
x16 + 0 = 0 + y14
x16 = 0 + y14
Remove the zero:
x16 = y14

Simplifying
x16 = y14

Combine like terms: y14 + -1y14 = 0
x16 + -1y14 = 0

Factor a difference between two squares.
(x8 + y7)(x8 + -1y7) = 0


Subproblem 1
Set the factor '(x8 + y7)' equal to zero and attempt to solve:

Simplifying
x8 + y7 = 0

Solving
x8 + y7 = 0

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

Add '-1y7' to each side of the equation.
x8 + y7 + -1y7 = 0 + -1y7

Combine like terms: y7 + -1y7 = 0
x8 + 0 = 0 + -1y7
x8 = 0 + -1y7
Remove the zero:
x8 = -1y7

Simplifying
x8 = -1y7

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 '(x8 + -1y7)' equal to zero and attempt to solve:

Simplifying
x8 + -1y7 = 0

Solving
x8 + -1y7 = 0

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

Add 'y7' to each side of the equation.
x8 + -1y7 + y7 = 0 + y7

Combine like terms: -1y7 + y7 = 0
x8 + 0 = 0 + y7
x8 = 0 + y7
Remove the zero:
x8 = y7

Simplifying
x8 = y7

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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