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Simplifying 5r2 = 9r Solving 5r2 = 9r Solving for variable 'r'. Reorder the terms: -9r + 5r2 = 9r + -9r Combine like terms: 9r + -9r = 0 -9r + 5r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-9 + 5r) = 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 '(-9 + 5r)' equal to zero and attempt to solve: Simplifying -9 + 5r = 0 Solving -9 + 5r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5r = 0 + 9 5r = 0 + 9 Combine like terms: 0 + 9 = 9 5r = 9 Divide each side by '5'. r = 1.8 Simplifying r = 1.8Solution
r = {0, 1.8}
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