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Simplifying 30r2 + -48r = 0 Reorder the terms: -48r + 30r2 = 0 Solving -48r + 30r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '6r'. 6r(-8 + 5r) = 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 '(-8 + 5r)' equal to zero and attempt to solve: Simplifying -8 + 5r = 0 Solving -8 + 5r = 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 + 5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5r = 0 + 8 5r = 0 + 8 Combine like terms: 0 + 8 = 8 5r = 8 Divide each side by '5'. r = 1.6 Simplifying r = 1.6Solution
r = {0, 1.6}
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