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Simplifying 20r2 + 73r + 63 = 0 Reorder the terms: 63 + 73r + 20r2 = 0 Solving 63 + 73r + 20r2 = 0 Solving for variable 'r'. Factor a trinomial. (9 + 4r)(7 + 5r) = 0Subproblem 1
Set the factor '(9 + 4r)' equal to zero and attempt to solve: Simplifying 9 + 4r = 0 Solving 9 + 4r = 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 + 4r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4r = 0 + -9 4r = 0 + -9 Combine like terms: 0 + -9 = -9 4r = -9 Divide each side by '4'. r = -2.25 Simplifying r = -2.25Subproblem 2
Set the factor '(7 + 5r)' equal to zero and attempt to solve: Simplifying 7 + 5r = 0 Solving 7 + 5r = 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 + 5r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5r = 0 + -7 5r = 0 + -7 Combine like terms: 0 + -7 = -7 5r = -7 Divide each side by '5'. r = -1.4 Simplifying r = -1.4Solution
r = {-2.25, -1.4}
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