X^6-Y^6=0

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Solution for X^6-Y^6=0 equation: 


Simplifying
X6 + -1Y6 = 0

Solving
X6 + -1Y6 = 0

Solving for variable 'X'.

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

Add 'Y6' to each side of the equation.
X6 + -1Y6 + Y6 = 0 + Y6

Combine like terms: -1Y6 + Y6 = 0
X6 + 0 = 0 + Y6
X6 = 0 + Y6
Remove the zero:
X6 = Y6

Simplifying
X6 = Y6

Combine like terms: Y6 + -1Y6 = 0
X6 + -1Y6 = 0

Factor a difference between two squares.
(X3 + Y3)(X3 + -1Y3) = 0


Subproblem 1
Set the factor '(X3 + Y3)' equal to zero and attempt to solve:

Simplifying
X3 + Y3 = 0

Solving
X3 + Y3 = 0

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

Add '-1Y3' to each side of the equation.
X3 + Y3 + -1Y3 = 0 + -1Y3

Combine like terms: Y3 + -1Y3 = 0
X3 + 0 = 0 + -1Y3
X3 = 0 + -1Y3
Remove the zero:
X3 = -1Y3

Simplifying
X3 = -1Y3

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 '(X3 + -1Y3)' equal to zero and attempt to solve:

Simplifying
X3 + -1Y3 = 0

Solving
X3 + -1Y3 = 0

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

Add 'Y3' to each side of the equation.
X3 + -1Y3 + Y3 = 0 + Y3

Combine like terms: -1Y3 + Y3 = 0
X3 + 0 = 0 + Y3
X3 = 0 + Y3
Remove the zero:
X3 = Y3

Simplifying
X3 = Y3

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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