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Simplifying -1n2 + -12n = -45 Reorder the terms: -12n + -1n2 = -45 Solving -12n + -1n2 = -45 Solving for variable 'n'. Reorder the terms: 45 + -12n + -1n2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + -12n + -1n2 = 0 Factor a trinomial. (3 + -1n)(15 + n) = 0Subproblem 1
Set the factor '(3 + -1n)' equal to zero and attempt to solve: Simplifying 3 + -1n = 0 Solving 3 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 0 + -3 -1n = 0 + -3 Combine like terms: 0 + -3 = -3 -1n = -3 Divide each side by '-1'. n = 3 Simplifying n = 3Subproblem 2
Set the factor '(15 + n)' equal to zero and attempt to solve: Simplifying 15 + n = 0 Solving 15 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + n = 0 + -15 Combine like terms: 15 + -15 = 0 0 + n = 0 + -15 n = 0 + -15 Combine like terms: 0 + -15 = -15 n = -15 Simplifying n = -15Solution
n = {3, -15}
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