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Simplifying 19n2 + -124n + -224 = 0 Reorder the terms: -224 + -124n + 19n2 = 0 Solving -224 + -124n + 19n2 = 0 Solving for variable 'n'. Factor a trinomial. (-28 + -19n)(8 + -1n) = 0Subproblem 1
Set the factor '(-28 + -19n)' equal to zero and attempt to solve: Simplifying -28 + -19n = 0 Solving -28 + -19n = 0 Move all terms containing n to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -19n = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -19n = 0 + 28 -19n = 0 + 28 Combine like terms: 0 + 28 = 28 -19n = 28 Divide each side by '-19'. n = -1.473684211 Simplifying n = -1.473684211Subproblem 2
Set the factor '(8 + -1n)' equal to zero and attempt to solve: Simplifying 8 + -1n = 0 Solving 8 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = 0 + -8 -1n = 0 + -8 Combine like terms: 0 + -8 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8Solution
n = {-1.473684211, 8}
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