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Simplifying 19n2 + -322n + -360 = 0 Reorder the terms: -360 + -322n + 19n2 = 0 Solving -360 + -322n + 19n2 = 0 Solving for variable 'n'. Factor a trinomial. (-20 + -19n)(18 + -1n) = 0Subproblem 1
Set the factor '(-20 + -19n)' equal to zero and attempt to solve: Simplifying -20 + -19n = 0 Solving -20 + -19n = 0 Move all terms containing n to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -19n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -19n = 0 + 20 -19n = 0 + 20 Combine like terms: 0 + 20 = 20 -19n = 20 Divide each side by '-19'. n = -1.052631579 Simplifying n = -1.052631579Subproblem 2
Set the factor '(18 + -1n)' equal to zero and attempt to solve: Simplifying 18 + -1n = 0 Solving 18 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 0 + -18 -1n = 0 + -18 Combine like terms: 0 + -18 = -18 -1n = -18 Divide each side by '-1'. n = 18 Simplifying n = 18Solution
n = {-1.052631579, 18}
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