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Simplifying 3n2 + -4n + -6 = 9 Reorder the terms: -6 + -4n + 3n2 = 9 Solving -6 + -4n + 3n2 = 9 Solving for variable 'n'. Reorder the terms: -6 + -9 + -4n + 3n2 = 9 + -9 Combine like terms: -6 + -9 = -15 -15 + -4n + 3n2 = 9 + -9 Combine like terms: 9 + -9 = 0 -15 + -4n + 3n2 = 0 Factor a trinomial. (-5 + -3n)(3 + -1n) = 0Subproblem 1
Set the factor '(-5 + -3n)' equal to zero and attempt to solve: Simplifying -5 + -3n = 0 Solving -5 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3n = 0 + 5 -3n = 0 + 5 Combine like terms: 0 + 5 = 5 -3n = 5 Divide each side by '-3'. n = -1.666666667 Simplifying n = -1.666666667Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Solution
n = {-1.666666667, 3}
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