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Simplifying 3r(8r + -3) = 0 Reorder the terms: 3r(-3 + 8r) = 0 (-3 * 3r + 8r * 3r) = 0 (-9r + 24r2) = 0 Solving -9r + 24r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r'. 3r(-3 + 8r) = 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 '(-3 + 8r)' equal to zero and attempt to solve: Simplifying -3 + 8r = 0 Solving -3 + 8r = 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 + 8r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8r = 0 + 3 8r = 0 + 3 Combine like terms: 0 + 3 = 3 8r = 3 Divide each side by '8'. r = 0.375 Simplifying r = 0.375Solution
r = {0, 0.375}
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