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Simplifying 6r2 + 7r + -24 = 0 Reorder the terms: -24 + 7r + 6r2 = 0 Solving -24 + 7r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -3r)(3 + -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 '(3 + -2r)' equal to zero and attempt to solve: Simplifying 3 + -2r = 0 Solving 3 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 0 + -3 -2r = 0 + -3 Combine like terms: 0 + -3 = -3 -2r = -3 Divide each side by '-2'. r = 1.5 Simplifying r = 1.5Solution
r = {-2.666666667, 1.5}
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