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Simplifying 3r2 = 6r Solving 3r2 = 6r Solving for variable 'r'. Reorder the terms: -6r + 3r2 = 6r + -6r Combine like terms: 6r + -6r = 0 -6r + 3r2 = 0 Factor out the Greatest Common Factor (GCF), '3r'. 3r(-2 + 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 = 0Subproblem 2
Set the factor '(-2 + r)' equal to zero and attempt to solve: Simplifying -2 + r = 0 Solving -2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r = 0 + 2 r = 0 + 2 Combine like terms: 0 + 2 = 2 r = 2 Simplifying r = 2Solution
r = {0, 2}
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