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Simplifying 7r3 = 7r Solving 7r3 = 7r Solving for variable 'r'. Reorder the terms: -7r + 7r3 = 7r + -7r Combine like terms: 7r + -7r = 0 -7r + 7r3 = 0 Factor out the Greatest Common Factor (GCF), '7r'. 7r(-1 + r2) = 0 Factor a difference between two squares. 7r((1 + r)(-1 + r)) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
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 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 = 1Solution
r = {0, -1, 1}
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