r^8-s^14=0

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Solution for r^8-s^14=0 equation: 


Simplifying
r8 + -1s14 = 0

Solving
r8 + -1s14 = 0

Solving for variable 'r'.

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

Add 's14' to each side of the equation.
r8 + -1s14 + s14 = 0 + s14

Combine like terms: -1s14 + s14 = 0
r8 + 0 = 0 + s14
r8 = 0 + s14
Remove the zero:
r8 = s14

Simplifying
r8 = s14

Combine like terms: s14 + -1s14 = 0
r8 + -1s14 = 0

Factor a difference between two squares.
(r4 + s7)(r4 + -1s7) = 0


Subproblem 1
Set the factor '(r4 + s7)' equal to zero and attempt to solve:

Simplifying
r4 + s7 = 0

Solving
r4 + s7 = 0

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

Add '-1s7' to each side of the equation.
r4 + s7 + -1s7 = 0 + -1s7

Combine like terms: s7 + -1s7 = 0
r4 + 0 = 0 + -1s7
r4 = 0 + -1s7
Remove the zero:
r4 = -1s7

Simplifying
r4 = -1s7

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 '(r4 + -1s7)' equal to zero and attempt to solve:

Simplifying
r4 + -1s7 = 0

Solving
r4 + -1s7 = 0

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

Add 's7' to each side of the equation.
r4 + -1s7 + s7 = 0 + s7

Combine like terms: -1s7 + s7 = 0
r4 + 0 = 0 + s7
r4 = 0 + s7
Remove the zero:
r4 = s7

Simplifying
r4 = s7

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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