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Simplifying 3n2 + -19n + -22 = -8 Reorder the terms: -22 + -19n + 3n2 = -8 Solving -22 + -19n + 3n2 = -8 Solving for variable 'n'. Reorder the terms: -22 + 8 + -19n + 3n2 = -8 + 8 Combine like terms: -22 + 8 = -14 -14 + -19n + 3n2 = -8 + 8 Combine like terms: -8 + 8 = 0 -14 + -19n + 3n2 = 0 Factor a trinomial. (-2 + -3n)(7 + -1n) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(7 + -1n)' equal to zero and attempt to solve: Simplifying 7 + -1n = 0 Solving 7 + -1n = 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 + -1n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1n = 0 + -7 -1n = 0 + -7 Combine like terms: 0 + -7 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7Solution
n = {-0.6666666667, 7}
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