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Simplifying 9n2 + -18n + -4 = 3 Reorder the terms: -4 + -18n + 9n2 = 3 Solving -4 + -18n + 9n2 = 3 Solving for variable 'n'. Reorder the terms: -4 + -3 + -18n + 9n2 = 3 + -3 Combine like terms: -4 + -3 = -7 -7 + -18n + 9n2 = 3 + -3 Combine like terms: 3 + -3 = 0 -7 + -18n + 9n2 = 0 Factor a trinomial. (-1 + -3n)(7 + -3n) = 0Subproblem 1
Set the factor '(-1 + -3n)' equal to zero and attempt to solve: Simplifying -1 + -3n = 0 Solving -1 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3n = 0 + 1 -3n = 0 + 1 Combine like terms: 0 + 1 = 1 -3n = 1 Divide each side by '-3'. n = -0.3333333333 Simplifying n = -0.3333333333Subproblem 2
Set the factor '(7 + -3n)' equal to zero and attempt to solve: Simplifying 7 + -3n = 0 Solving 7 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 0 + -7 -3n = 0 + -7 Combine like terms: 0 + -7 = -7 -3n = -7 Divide each side by '-3'. n = 2.333333333 Simplifying n = 2.333333333Solution
n = {-0.3333333333, 2.333333333}
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