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Simplifying 9n2 + -18n + -42 = -2 Reorder the terms: -42 + -18n + 9n2 = -2 Solving -42 + -18n + 9n2 = -2 Solving for variable 'n'. Reorder the terms: -42 + 2 + -18n + 9n2 = -2 + 2 Combine like terms: -42 + 2 = -40 -40 + -18n + 9n2 = -2 + 2 Combine like terms: -2 + 2 = 0 -40 + -18n + 9n2 = 0 Factor a trinomial. (-4 + -3n)(10 + -3n) = 0Subproblem 1
Set the factor '(-4 + -3n)' equal to zero and attempt to solve: Simplifying -4 + -3n = 0 Solving -4 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3n = 0 + 4 -3n = 0 + 4 Combine like terms: 0 + 4 = 4 -3n = 4 Divide each side by '-3'. n = -1.333333333 Simplifying n = -1.333333333Subproblem 2
Set the factor '(10 + -3n)' equal to zero and attempt to solve: Simplifying 10 + -3n = 0 Solving 10 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = 0 + -10 -3n = 0 + -10 Combine like terms: 0 + -10 = -10 -3n = -10 Divide each side by '-3'. n = 3.333333333 Simplifying n = 3.333333333Solution
n = {-1.333333333, 3.333333333}
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