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Simplifying 3r^{2}= 9r Solving 3r^{2}= 9r Solving for variable 'r'. Reorder the terms: -9r + 3r^{2}= 9r + -9r Combine like terms: 9r + -9r = 0 -9r + 3r^{2}= 0 Factor out the Greatest Common Factor (GCF), '3r'. 3r(-3 + r) = 0 Ignore the factor 3.## Subproblem 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 = 0## Subproblem 2

Set the factor '(-3 + r)' equal to zero and attempt to solve: Simplifying -3 + r = 0 Solving -3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + r = 0 + 3 r = 0 + 3 Combine like terms: 0 + 3 = 3 r = 3 Simplifying r = 3## Solution

r = {0, 3}

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