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Simplifying 32r2 = 20r + 63 Reorder the terms: 32r2 = 63 + 20r Solving 32r2 = 63 + 20r Solving for variable 'r'. Reorder the terms: -63 + -20r + 32r2 = 63 + 20r + -63 + -20r Reorder the terms: -63 + -20r + 32r2 = 63 + -63 + 20r + -20r Combine like terms: 63 + -63 = 0 -63 + -20r + 32r2 = 0 + 20r + -20r -63 + -20r + 32r2 = 20r + -20r Combine like terms: 20r + -20r = 0 -63 + -20r + 32r2 = 0 Factor a trinomial. (-9 + -8r)(7 + -4r) = 0Subproblem 1
Set the factor '(-9 + -8r)' equal to zero and attempt to solve: Simplifying -9 + -8r = 0 Solving -9 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8r = 0 + 9 -8r = 0 + 9 Combine like terms: 0 + 9 = 9 -8r = 9 Divide each side by '-8'. r = -1.125 Simplifying r = -1.125Subproblem 2
Set the factor '(7 + -4r)' equal to zero and attempt to solve: Simplifying 7 + -4r = 0 Solving 7 + -4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = 0 + -7 -4r = 0 + -7 Combine like terms: 0 + -7 = -7 -4r = -7 Divide each side by '-4'. r = 1.75 Simplifying r = 1.75Solution
r = {-1.125, 1.75}
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