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Simplifying r2 = -21r + -10r Combine like terms: -21r + -10r = -31r r2 = -31r Solving r2 = -31r Solving for variable 'r'. Reorder the terms: 31r + r2 = -31r + 31r Combine like terms: -31r + 31r = 0 31r + r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(31 + r) = 0Subproblem 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 '(31 + r)' equal to zero and attempt to solve: Simplifying 31 + r = 0 Solving 31 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + r = 0 + -31 Combine like terms: 31 + -31 = 0 0 + r = 0 + -31 r = 0 + -31 Combine like terms: 0 + -31 = -31 r = -31 Simplifying r = -31Solution
r = {0, -31}
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