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Simplifying 36r2 + -24 + -5r = 0 Reorder the terms: -24 + -5r + 36r2 = 0 Solving -24 + -5r + 36r2 = 0 Solving for variable 'r'. Factor a trinomial. (-3 + -4r)(8 + -9r) = 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 + -9r)' equal to zero and attempt to solve: Simplifying 8 + -9r = 0 Solving 8 + -9r = 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 + -9r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9r = 0 + -8 -9r = 0 + -8 Combine like terms: 0 + -8 = -8 -9r = -8 Divide each side by '-9'. r = 0.8888888889 Simplifying r = 0.8888888889Solution
r = {-0.75, 0.8888888889}
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