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Simplifying n2 + -1n + -1482 = 0 Reorder the terms: -1482 + -1n + n2 = 0 Solving -1482 + -1n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-38 + -1n)(39 + -1n) = 0Subproblem 1
Set the factor '(-38 + -1n)' equal to zero and attempt to solve: Simplifying -38 + -1n = 0 Solving -38 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -1n = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -1n = 0 + 38 -1n = 0 + 38 Combine like terms: 0 + 38 = 38 -1n = 38 Divide each side by '-1'. n = -38 Simplifying n = -38Subproblem 2
Set the factor '(39 + -1n)' equal to zero and attempt to solve: Simplifying 39 + -1n = 0 Solving 39 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1n = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1n = 0 + -39 -1n = 0 + -39 Combine like terms: 0 + -39 = -39 -1n = -39 Divide each side by '-1'. n = 39 Simplifying n = 39Solution
n = {-38, 39}
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