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Simplifying 6r2 + -11r + -35 = 0 Reorder the terms: -35 + -11r + 6r2 = 0 Solving -35 + -11r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -3r)(7 + -2r) = 0Subproblem 1
Set the factor '(-5 + -3r)' equal to zero and attempt to solve: Simplifying -5 + -3r = 0 Solving -5 + -3r = 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 + -3r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3r = 0 + 5 -3r = 0 + 5 Combine like terms: 0 + 5 = 5 -3r = 5 Divide each side by '-3'. r = -1.666666667 Simplifying r = -1.666666667Subproblem 2
Set the factor '(7 + -2r)' equal to zero and attempt to solve: Simplifying 7 + -2r = 0 Solving 7 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 0 + -7 -2r = 0 + -7 Combine like terms: 0 + -7 = -7 -2r = -7 Divide each side by '-2'. r = 3.5 Simplifying r = 3.5Solution
r = {-1.666666667, 3.5}
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