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Simplifying 6r2 + -13r + -8 = 0 Reorder the terms: -8 + -13r + 6r2 = 0 Solving -8 + -13r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-1 + -2r)(8 + -3r) = 0Subproblem 1
Set the factor '(-1 + -2r)' equal to zero and attempt to solve: Simplifying -1 + -2r = 0 Solving -1 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2r = 0 + 1 -2r = 0 + 1 Combine like terms: 0 + 1 = 1 -2r = 1 Divide each side by '-2'. r = -0.5 Simplifying r = -0.5Subproblem 2
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 = 2.666666667Solution
r = {-0.5, 2.666666667}
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