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Simplifying 16 = r8 Solving 16 = r8 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r8' to each side of the equation. 16 + -1r8 = r8 + -1r8 Combine like terms: r8 + -1r8 = 0 16 + -1r8 = 0 Add '-16' to each side of the equation. 16 + -16 + -1r8 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1r8 = 0 + -16 -1r8 = 0 + -16 Combine like terms: 0 + -16 = -16 -1r8 = -16 Divide each side by '-1'. r8 = 16 Simplifying r8 = 16 Reorder the terms: -16 + r8 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + r8 = 0 Factor a difference between two squares. (4 + r4)(-4 + r4) = 0 Factor a difference between two squares. (4 + r4)((2 + r2)(-2 + r2)) = 0Subproblem 1
Set the factor '(4 + r4)' equal to zero and attempt to solve: Simplifying 4 + r4 = 0 Solving 4 + r4 = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r4 = 0 + -4 r4 = 0 + -4 Combine like terms: 0 + -4 = -4 r4 = -4 Simplifying r4 = -4 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 '(2 + r2)' equal to zero and attempt to solve: Simplifying 2 + r2 = 0 Solving 2 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r2 = 0 + -2 r2 = 0 + -2 Combine like terms: 0 + -2 = -2 r2 = -2 Simplifying r2 = -2 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 '(-2 + r2)' equal to zero and attempt to solve: Simplifying -2 + r2 = 0 Solving -2 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r2 = 0 + 2 r2 = 0 + 2 Combine like terms: 0 + 2 = 2 r2 = 2 Simplifying r2 = 2 Take the square root of each side: r = {-1.414213562, 1.414213562}Solution
r = {-1.414213562, 1.414213562}
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