x^14-y^8=0

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Solution for x^14-y^8=0 equation:


Simplifying
x14 + -1y8 = 0

Solving
x14 + -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.
x14 + -1y8 + y8 = 0 + y8

Combine like terms: -1y8 + y8 = 0
x14 + 0 = 0 + y8
x14 = 0 + y8
Remove the zero:
x14 = y8

Simplifying
x14 = y8

Combine like terms: y8 + -1y8 = 0
x14 + -1y8 = 0

Factor a difference between two squares.
(x7 + y4)(x7 + -1y4) = 0

Subproblem 1

Set the factor '(x7 + y4)' equal to zero and attempt to solve: Simplifying x7 + y4 = 0 Solving x7 + y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y4' to each side of the equation. x7 + y4 + -1y4 = 0 + -1y4 Combine like terms: y4 + -1y4 = 0 x7 + 0 = 0 + -1y4 x7 = 0 + -1y4 Remove the zero: x7 = -1y4 Simplifying x7 = -1y4 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 '(x7 + -1y4)' equal to zero and attempt to solve: Simplifying x7 + -1y4 = 0 Solving x7 + -1y4 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y4' to each side of the equation. x7 + -1y4 + y4 = 0 + y4 Combine like terms: -1y4 + y4 = 0 x7 + 0 = 0 + y4 x7 = 0 + y4 Remove the zero: x7 = y4 Simplifying x7 = y4 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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