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Simplifying 3n2 + 7n + -118 = -8 Reorder the terms: -118 + 7n + 3n2 = -8 Solving -118 + 7n + 3n2 = -8 Solving for variable 'n'. Reorder the terms: -118 + 8 + 7n + 3n2 = -8 + 8 Combine like terms: -118 + 8 = -110 -110 + 7n + 3n2 = -8 + 8 Combine like terms: -8 + 8 = 0 -110 + 7n + 3n2 = 0 Factor a trinomial. (-22 + -3n)(5 + -1n) = 0Subproblem 1
Set the factor '(-22 + -3n)' equal to zero and attempt to solve: Simplifying -22 + -3n = 0 Solving -22 + -3n = 0 Move all terms containing n to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3n = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3n = 0 + 22 -3n = 0 + 22 Combine like terms: 0 + 22 = 22 -3n = 22 Divide each side by '-3'. n = -7.333333333 Simplifying n = -7.333333333Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 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 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {-7.333333333, 5}
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