r^8-16s^4=0

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Solution for r^8-16s^4=0 equation:


Simplifying
r8 + -16s4 = 0

Solving
r8 + -16s4 = 0

Solving for variable 'r'.

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

Add '16s4' to each side of the equation.
r8 + -16s4 + 16s4 = 0 + 16s4

Combine like terms: -16s4 + 16s4 = 0
r8 + 0 = 0 + 16s4
r8 = 0 + 16s4
Remove the zero:
r8 = 16s4

Simplifying
r8 = 16s4

Combine like terms: 16s4 + -16s4 = 0
r8 + -16s4 = 0

Factor a difference between two squares.
(r4 + 4s2)(r4 + -4s2) = 0

Factor a difference between two squares.
(r4 + 4s2)((r2 + 2s)(r2 + -2s)) = 0

Subproblem 1

Set the factor '(r4 + 4s2)' equal to zero and attempt to solve: Simplifying r4 + 4s2 = 0 Solving r4 + 4s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-4s2' to each side of the equation. r4 + 4s2 + -4s2 = 0 + -4s2 Combine like terms: 4s2 + -4s2 = 0 r4 + 0 = 0 + -4s2 r4 = 0 + -4s2 Remove the zero: r4 = -4s2 Simplifying r4 = -4s2 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 '(r2 + 2s)' equal to zero and attempt to solve: Simplifying r2 + 2s = 0 Solving r2 + 2s = 0 Move all terms containing r to the left, all other terms to the right. Add '-2s' to each side of the equation. r2 + 2s + -2s = 0 + -2s Combine like terms: 2s + -2s = 0 r2 + 0 = 0 + -2s r2 = 0 + -2s Remove the zero: r2 = -2s Simplifying r2 = -2s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(r2 + -2s)' equal to zero and attempt to solve: Simplifying r2 + -2s = 0 Solving r2 + -2s = 0 Move all terms containing r to the left, all other terms to the right. Add '2s' to each side of the equation. r2 + -2s + 2s = 0 + 2s Combine like terms: -2s + 2s = 0 r2 + 0 = 0 + 2s r2 = 0 + 2s Remove the zero: r2 = 2s Simplifying r2 = 2s 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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