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Simplifying 6r2 = 65 + -11r Solving 6r2 = 65 + -11r Solving for variable 'r'. Reorder the terms: -65 + 11r + 6r2 = 65 + -11r + -65 + 11r Reorder the terms: -65 + 11r + 6r2 = 65 + -65 + -11r + 11r Combine like terms: 65 + -65 = 0 -65 + 11r + 6r2 = 0 + -11r + 11r -65 + 11r + 6r2 = -11r + 11r Combine like terms: -11r + 11r = 0 -65 + 11r + 6r2 = 0 Factor a trinomial. (-13 + -3r)(5 + -2r) = 0Subproblem 1
Set the factor '(-13 + -3r)' equal to zero and attempt to solve: Simplifying -13 + -3r = 0 Solving -13 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -3r = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -3r = 0 + 13 -3r = 0 + 13 Combine like terms: 0 + 13 = 13 -3r = 13 Divide each side by '-3'. r = -4.333333333 Simplifying r = -4.333333333Subproblem 2
Set the factor '(5 + -2r)' equal to zero and attempt to solve: Simplifying 5 + -2r = 0 Solving 5 + -2r = 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 + -2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 0 + -5 -2r = 0 + -5 Combine like terms: 0 + -5 = -5 -2r = -5 Divide each side by '-2'. r = 2.5 Simplifying r = 2.5Solution
r = {-4.333333333, 2.5}
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