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Simplifying 6r2 + -23r + -104 = 0 Reorder the terms: -104 + -23r + 6r2 = 0 Solving -104 + -23r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -3r)(13 + -2r) = 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 '(13 + -2r)' equal to zero and attempt to solve: Simplifying 13 + -2r = 0 Solving 13 + -2r = 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 + -2r = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2r = 0 + -13 -2r = 0 + -13 Combine like terms: 0 + -13 = -13 -2r = -13 Divide each side by '-2'. r = 6.5 Simplifying r = 6.5Solution
r = {-2.666666667, 6.5}
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