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Simplifying 3r2 + -52r + 140 = 0 Reorder the terms: 140 + -52r + 3r2 = 0 Solving 140 + -52r + 3r2 = 0 Solving for variable 'r'. Factor a trinomial. (10 + -3r)(14 + -1r) = 0Subproblem 1
Set the factor '(10 + -3r)' equal to zero and attempt to solve: Simplifying 10 + -3r = 0 Solving 10 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3r = 0 + -10 -3r = 0 + -10 Combine like terms: 0 + -10 = -10 -3r = -10 Divide each side by '-3'. r = 3.333333333 Simplifying r = 3.333333333Subproblem 2
Set the factor '(14 + -1r)' equal to zero and attempt to solve: Simplifying 14 + -1r = 0 Solving 14 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 0 + -14 -1r = 0 + -14 Combine like terms: 0 + -14 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14Solution
r = {3.333333333, 14}
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