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Simplifying 3r2 + -8r = 0 Reorder the terms: -8r + 3r2 = 0 Solving -8r + 3r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-8 + 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 '(-8 + 3r)' equal to zero and attempt to solve: Simplifying -8 + 3r = 0 Solving -8 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3r = 0 + 8 3r = 0 + 8 Combine like terms: 0 + 8 = 8 3r = 8 Divide each side by '3'. r = 2.666666667 Simplifying r = 2.666666667Solution
r = {0, 2.666666667}
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