y^6-x^6=0

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Solution for y^6-x^6=0 equation:


Simplifying
y6 + -1x6 = 0

Reorder the terms:
-1x6 + y6 = 0

Solving
-1x6 + y6 = 0

Solving for variable 'x'.

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

Add '-1y6' to each side of the equation.
-1x6 + y6 + -1y6 = 0 + -1y6

Combine like terms: y6 + -1y6 = 0
-1x6 + 0 = 0 + -1y6
-1x6 = 0 + -1y6
Remove the zero:
-1x6 = -1y6

Divide each side by '-1'.
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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