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Simplifying 0 = 20r + -1r2 Solving 0 = 20r + -1r2 Solving for variable 'r'. Remove the zero: -20r + r2 = 20r + -1r2 + -20r + r2 Reorder the terms: -20r + r2 = 20r + -20r + -1r2 + r2 Combine like terms: 20r + -20r = 0 -20r + r2 = 0 + -1r2 + r2 -20r + r2 = -1r2 + r2 Combine like terms: -1r2 + r2 = 0 -20r + r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-20 + 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 '(-20 + r)' equal to zero and attempt to solve: Simplifying -20 + r = 0 Solving -20 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + r = 0 + 20 r = 0 + 20 Combine like terms: 0 + 20 = 20 r = 20 Simplifying r = 20Solution
r = {0, 20}
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