X^8-y^10=0

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Solution for X^8-y^10=0 equation: 


Simplifying
X8 + -1y10 = 0

Solving
X8 + -1y10 = 0

Solving for variable 'X'.

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

Add 'y10' to each side of the equation.
X8 + -1y10 + y10 = 0 + y10

Combine like terms: -1y10 + y10 = 0
X8 + 0 = 0 + y10
X8 = 0 + y10
Remove the zero:
X8 = y10

Simplifying
X8 = y10

Combine like terms: y10 + -1y10 = 0
X8 + -1y10 = 0

Factor a difference between two squares.
(X4 + y5)(X4 + -1y5) = 0


Subproblem 1
Set the factor '(X4 + y5)' equal to zero and attempt to solve:

Simplifying
X4 + y5 = 0

Solving
X4 + y5 = 0

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

Add '-1y5' to each side of the equation.
X4 + y5 + -1y5 = 0 + -1y5

Combine like terms: y5 + -1y5 = 0
X4 + 0 = 0 + -1y5
X4 = 0 + -1y5
Remove the zero:
X4 = -1y5

Simplifying
X4 = -1y5

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 '(X4 + -1y5)' equal to zero and attempt to solve:

Simplifying
X4 + -1y5 = 0

Solving
X4 + -1y5 = 0

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

Add 'y5' to each side of the equation.
X4 + -1y5 + y5 = 0 + y5

Combine like terms: -1y5 + y5 = 0
X4 + 0 = 0 + y5
X4 = 0 + y5
Remove the zero:
X4 = y5

Simplifying
X4 = y5

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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