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Simplifying 20r2 + -47r + 24 = 0 Reorder the terms: 24 + -47r + 20r2 = 0 Solving 24 + -47r + 20r2 = 0 Solving for variable 'r'. Factor a trinomial. (3 + -4r)(8 + -5r) = 0Subproblem 1
Set the factor '(3 + -4r)' equal to zero and attempt to solve: Simplifying 3 + -4r = 0 Solving 3 + -4r = 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 + -4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4r = 0 + -3 -4r = 0 + -3 Combine like terms: 0 + -3 = -3 -4r = -3 Divide each side by '-4'. r = 0.75 Simplifying r = 0.75Subproblem 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 = {0.75, 1.6}
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