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Simplifying 24n2 + 17n + -22 = 0 Reorder the terms: -22 + 17n + 24n2 = 0 Solving -22 + 17n + 24n2 = 0 Solving for variable 'n'. Factor a trinomial. (-11 + -8n)(2 + -3n) = 0Subproblem 1
Set the factor '(-11 + -8n)' equal to zero and attempt to solve: Simplifying -11 + -8n = 0 Solving -11 + -8n = 0 Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -8n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -8n = 0 + 11 -8n = 0 + 11 Combine like terms: 0 + 11 = 11 -8n = 11 Divide each side by '-8'. n = -1.375 Simplifying n = -1.375Subproblem 2
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 = 0.6666666667Solution
n = {-1.375, 0.6666666667}
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