p^6-q^6=0

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Solution for p^6-q^6=0 equation: 


Simplifying
p6 + -1q6 = 0

Solving
p6 + -1q6 = 0

Solving for variable 'p'.

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

Add 'q6' to each side of the equation.
p6 + -1q6 + q6 = 0 + q6

Combine like terms: -1q6 + q6 = 0
p6 + 0 = 0 + q6
p6 = 0 + q6
Remove the zero:
p6 = q6

Simplifying
p6 = q6

Combine like terms: q6 + -1q6 = 0
p6 + -1q6 = 0

Factor a difference between two squares.
(p3 + q3)(p3 + -1q3) = 0


Subproblem 1
Set the factor '(p3 + q3)' equal to zero and attempt to solve:

Simplifying
p3 + q3 = 0

Solving
p3 + q3 = 0

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

Add '-1q3' to each side of the equation.
p3 + q3 + -1q3 = 0 + -1q3

Combine like terms: q3 + -1q3 = 0
p3 + 0 = 0 + -1q3
p3 = 0 + -1q3
Remove the zero:
p3 = -1q3

Simplifying
p3 = -1q3

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 '(p3 + -1q3)' equal to zero and attempt to solve:

Simplifying
p3 + -1q3 = 0

Solving
p3 + -1q3 = 0

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

Add 'q3' to each side of the equation.
p3 + -1q3 + q3 = 0 + q3

Combine like terms: -1q3 + q3 = 0
p3 + 0 = 0 + q3
p3 = 0 + q3
Remove the zero:
p3 = q3

Simplifying
p3 = q3

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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