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Simplifying 33r2 + 82r + -16 = 0 Reorder the terms: -16 + 82r + 33r2 = 0 Solving -16 + 82r + 33r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -3r)(2 + -11r) = 0Subproblem 1
Set the factor '(-8 + -3r)' equal to zero and attempt to solve: Simplifying -8 + -3r = 0 Solving -8 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3r = 0 + 8 -3r = 0 + 8 Combine like terms: 0 + 8 = 8 -3r = 8 Divide each side by '-3'. r = -2.666666667 Simplifying r = -2.666666667Subproblem 2
Set the factor '(2 + -11r)' equal to zero and attempt to solve: Simplifying 2 + -11r = 0 Solving 2 + -11r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -11r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11r = 0 + -2 -11r = 0 + -2 Combine like terms: 0 + -2 = -2 -11r = -2 Divide each side by '-11'. r = 0.1818181818 Simplifying r = 0.1818181818Solution
r = {-2.666666667, 0.1818181818}
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