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Simplifying 24n2 + -11n + -18 = 0 Reorder the terms: -18 + -11n + 24n2 = 0 Solving -18 + -11n + 24n2 = 0 Solving for variable 'n'. Factor a trinomial. (-2 + -3n)(9 + -8n) = 0Subproblem 1
Set the factor '(-2 + -3n)' equal to zero and attempt to solve: Simplifying -2 + -3n = 0 Solving -2 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3n = 0 + 2 -3n = 0 + 2 Combine like terms: 0 + 2 = 2 -3n = 2 Divide each side by '-3'. n = -0.6666666667 Simplifying n = -0.6666666667Subproblem 2
Set the factor '(9 + -8n)' equal to zero and attempt to solve: Simplifying 9 + -8n = 0 Solving 9 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8n = 0 + -9 -8n = 0 + -9 Combine like terms: 0 + -9 = -9 -8n = -9 Divide each side by '-8'. n = 1.125 Simplifying n = 1.125Solution
n = {-0.6666666667, 1.125}
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