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Simplifying 1 + -1r8 = 0 Solving 1 + -1r8 = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1r8 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1r8 = 0 + -1 -1r8 = 0 + -1 Combine like terms: 0 + -1 = -1 -1r8 = -1 Divide each side by '-1'. r8 = 1 Simplifying r8 = 1 Reorder the terms: -1 + r8 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + r8 = 0 Factor a difference between two squares. (1 + r4)(-1 + r4) = 0 Factor a difference between two squares. (1 + r4)((1 + r2)(-1 + r2)) = 0 Factor a difference between two squares. (1 + r4)((1 + r2)((1 + r)(-1 + r))) = 0Subproblem 1
Set the factor '(1 + r4)' equal to zero and attempt to solve: Simplifying 1 + r4 = 0 Solving 1 + r4 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r4 = 0 + -1 r4 = 0 + -1 Combine like terms: 0 + -1 = -1 r4 = -1 Simplifying r4 = -1 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 '(1 + r2)' equal to zero and attempt to solve: Simplifying 1 + r2 = 0 Solving 1 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r2 = 0 + -1 r2 = 0 + -1 Combine like terms: 0 + -1 = -1 r2 = -1 Simplifying r2 = -1 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 '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Subproblem 4
Set the factor '(-1 + r)' equal to zero and attempt to solve: Simplifying -1 + r = 0 Solving -1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + r = 0 + 1 r = 0 + 1 Combine like terms: 0 + 1 = 1 r = 1 Simplifying r = 1Solution
r = {-1, 1}
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