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Simplifying 20r2 + -13r = 15 Reorder the terms: -13r + 20r2 = 15 Solving -13r + 20r2 = 15 Solving for variable 'r'. Reorder the terms: -15 + -13r + 20r2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -13r + 20r2 = 0 Factor a trinomial. (-3 + -5r)(5 + -4r) = 0Subproblem 1
Set the factor '(-3 + -5r)' equal to zero and attempt to solve: Simplifying -3 + -5r = 0 Solving -3 + -5r = 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 + -5r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5r = 0 + 3 -5r = 0 + 3 Combine like terms: 0 + 3 = 3 -5r = 3 Divide each side by '-5'. r = -0.6 Simplifying r = -0.6Subproblem 2
Set the factor '(5 + -4r)' equal to zero and attempt to solve: Simplifying 5 + -4r = 0 Solving 5 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4r = 0 + -5 -4r = 0 + -5 Combine like terms: 0 + -5 = -5 -4r = -5 Divide each side by '-4'. r = 1.25 Simplifying r = 1.25Solution
r = {-0.6, 1.25}
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