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Simplifying 0 = n2 + -19n + 18 Reorder the terms: 0 = 18 + -19n + n2 Solving 0 = 18 + -19n + n2 Solving for variable 'n'. Combine like terms: 0 + -18 = -18 -18 + 19n + -1n2 = 18 + -19n + n2 + -18 + 19n + -1n2 Reorder the terms: -18 + 19n + -1n2 = 18 + -18 + -19n + 19n + n2 + -1n2 Combine like terms: 18 + -18 = 0 -18 + 19n + -1n2 = 0 + -19n + 19n + n2 + -1n2 -18 + 19n + -1n2 = -19n + 19n + n2 + -1n2 Combine like terms: -19n + 19n = 0 -18 + 19n + -1n2 = 0 + n2 + -1n2 -18 + 19n + -1n2 = n2 + -1n2 Combine like terms: n2 + -1n2 = 0 -18 + 19n + -1n2 = 0 Factor a trinomial. (-18 + n)(1 + -1n) = 0Subproblem 1
Set the factor '(-18 + n)' equal to zero and attempt to solve: Simplifying -18 + n = 0 Solving -18 + n = 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 + n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + n = 0 + 18 n = 0 + 18 Combine like terms: 0 + 18 = 18 n = 18 Simplifying n = 18Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Solution
n = {18, 1}
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