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Simplifying 3r2 + -1r + -62 = 8 Reorder the terms: -62 + -1r + 3r2 = 8 Solving -62 + -1r + 3r2 = 8 Solving for variable 'r'. Reorder the terms: -62 + -8 + -1r + 3r2 = 8 + -8 Combine like terms: -62 + -8 = -70 -70 + -1r + 3r2 = 8 + -8 Combine like terms: 8 + -8 = 0 -70 + -1r + 3r2 = 0 Factor a trinomial. (-14 + -3r)(5 + -1r) = 0Subproblem 1
Set the factor '(-14 + -3r)' equal to zero and attempt to solve: Simplifying -14 + -3r = 0 Solving -14 + -3r = 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 + -3r = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -3r = 0 + 14 -3r = 0 + 14 Combine like terms: 0 + 14 = 14 -3r = 14 Divide each side by '-3'. r = -4.666666667 Simplifying r = -4.666666667Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Solution
r = {-4.666666667, 5}
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