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Simplifying 3r2 + -1r + -140 = 0 Reorder the terms: -140 + -1r + 3r2 = 0 Solving -140 + -1r + 3r2 = 0 Solving for variable 'r'. Factor a trinomial. (-20 + -3r)(7 + -1r) = 0Subproblem 1
Set the factor '(-20 + -3r)' equal to zero and attempt to solve: Simplifying -20 + -3r = 0 Solving -20 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -3r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3r = 0 + 20 -3r = 0 + 20 Combine like terms: 0 + 20 = 20 -3r = 20 Divide each side by '-3'. r = -6.666666667 Simplifying r = -6.666666667Subproblem 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 = {-6.666666667, 7}
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