y^6-z^6=0

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


Simplifying
y6 + -1z6 = 0

Solving
y6 + -1z6 = 0

Solving for variable 'y'.

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

Add 'z6' to each side of the equation.
y6 + -1z6 + z6 = 0 + z6

Combine like terms: -1z6 + z6 = 0
y6 + 0 = 0 + z6
y6 = 0 + z6
Remove the zero:
y6 = z6

Simplifying
y6 = z6

Combine like terms: z6 + -1z6 = 0
y6 + -1z6 = 0

Factor a difference between two squares.
(y3 + z3)(y3 + -1z3) = 0


Subproblem 1
Set the factor '(y3 + z3)' equal to zero and attempt to solve:

Simplifying
y3 + z3 = 0

Solving
y3 + z3 = 0

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

Add '-1z3' to each side of the equation.
y3 + z3 + -1z3 = 0 + -1z3

Combine like terms: z3 + -1z3 = 0
y3 + 0 = 0 + -1z3
y3 = 0 + -1z3
Remove the zero:
y3 = -1z3

Simplifying
y3 = -1z3

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 '(y3 + -1z3)' equal to zero and attempt to solve:

Simplifying
y3 + -1z3 = 0

Solving
y3 + -1z3 = 0

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

Add 'z3' to each side of the equation.
y3 + -1z3 + z3 = 0 + z3

Combine like terms: -1z3 + z3 = 0
y3 + 0 = 0 + z3
y3 = 0 + z3
Remove the zero:
y3 = z3

Simplifying
y3 = z3

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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