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Simplifying 0 = -1r2 + 5r Reorder the terms: 0 = 5r + -1r2 Solving 0 = 5r + -1r2 Solving for variable 'r'. Remove the zero: -5r + r2 = 5r + -1r2 + -5r + r2 Reorder the terms: -5r + r2 = 5r + -5r + -1r2 + r2 Combine like terms: 5r + -5r = 0 -5r + r2 = 0 + -1r2 + r2 -5r + r2 = -1r2 + r2 Combine like terms: -1r2 + r2 = 0 -5r + r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-5 + 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 '(-5 + r)' equal to zero and attempt to solve: Simplifying -5 + r = 0 Solving -5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + r = 0 + 5 r = 0 + 5 Combine like terms: 0 + 5 = 5 r = 5 Simplifying r = 5Solution
r = {0, 5}
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