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Simplifying r2 = 81r Solving r2 = 81r Solving for variable 'r'. Reorder the terms: -81r + r2 = 81r + -81r Combine like terms: 81r + -81r = 0 -81r + r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-81 + 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 '(-81 + r)' equal to zero and attempt to solve: Simplifying -81 + r = 0 Solving -81 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + r = 0 + 81 Combine like terms: -81 + 81 = 0 0 + r = 0 + 81 r = 0 + 81 Combine like terms: 0 + 81 = 81 r = 81 Simplifying r = 81Solution
r = {0, 81}
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