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Simplifying 6r2 + -23r + -18 = 0 Reorder the terms: -18 + -23r + 6r2 = 0 Solving -18 + -23r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-2 + -3r)(9 + -2r) = 0Subproblem 1
Set the factor '(-2 + -3r)' equal to zero and attempt to solve: Simplifying -2 + -3r = 0 Solving -2 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3r = 0 + 2 -3r = 0 + 2 Combine like terms: 0 + 2 = 2 -3r = 2 Divide each side by '-3'. r = -0.6666666667 Simplifying r = -0.6666666667Subproblem 2
Set the factor '(9 + -2r)' equal to zero and attempt to solve: Simplifying 9 + -2r = 0 Solving 9 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = 0 + -9 -2r = 0 + -9 Combine like terms: 0 + -9 = -9 -2r = -9 Divide each side by '-2'. r = 4.5 Simplifying r = 4.5Solution
r = {-0.6666666667, 4.5}
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