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Simplifying 3r2 + -4r = 119 Reorder the terms: -4r + 3r2 = 119 Solving -4r + 3r2 = 119 Solving for variable 'r'. Reorder the terms: -119 + -4r + 3r2 = 119 + -119 Combine like terms: 119 + -119 = 0 -119 + -4r + 3r2 = 0 Factor a trinomial. (-17 + -3r)(7 + -1r) = 0Subproblem 1
Set the factor '(-17 + -3r)' equal to zero and attempt to solve: Simplifying -17 + -3r = 0 Solving -17 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3r = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3r = 0 + 17 -3r = 0 + 17 Combine like terms: 0 + 17 = 17 -3r = 17 Divide each side by '-3'. r = -5.666666667 Simplifying r = -5.666666667Subproblem 2
Set the factor '(7 + -1r)' equal to zero and attempt to solve: Simplifying 7 + -1r = 0 Solving 7 + -1r = 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 + -1r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 0 + -7 -1r = 0 + -7 Combine like terms: 0 + -7 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7Solution
r = {-5.666666667, 7}
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