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Simplifying 3r2 + -2r = 0 Reorder the terms: -2r + 3r2 = 0 Solving -2r + 3r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-2 + 3r) = 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 '(-2 + 3r)' equal to zero and attempt to solve: Simplifying -2 + 3r = 0 Solving -2 + 3r = 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 + 3r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3r = 0 + 2 3r = 0 + 2 Combine like terms: 0 + 2 = 2 3r = 2 Divide each side by '3'. r = 0.6666666667 Simplifying r = 0.6666666667Solution
r = {0, 0.6666666667}
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