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Simplifying 18r2 + -24r = 0 Reorder the terms: -24r + 18r2 = 0 Solving -24r + 18r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6r'. 6r(-4 + 3r) = 0 Ignore the factor 6.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 '(-4 + 3r)' equal to zero and attempt to solve: Simplifying -4 + 3r = 0 Solving -4 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3r = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3r = 0 + 4 3r = 0 + 4 Combine like terms: 0 + 4 = 4 3r = 4 Divide each side by '3'. r = 1.333333333 Simplifying r = 1.333333333Solution
r = {0, 1.333333333}
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