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Simplifying n2 + -1n = 306 Reorder the terms: -1n + n2 = 306 Solving -1n + n2 = 306 Solving for variable 'n'. Reorder the terms: -306 + -1n + n2 = 306 + -306 Combine like terms: 306 + -306 = 0 -306 + -1n + n2 = 0 Factor a trinomial. (-17 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(-17 + -1n)' equal to zero and attempt to solve: Simplifying -17 + -1n = 0 Solving -17 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1n = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1n = 0 + 17 -1n = 0 + 17 Combine like terms: 0 + 17 = 17 -1n = 17 Divide each side by '-1'. n = -17 Simplifying n = -17Subproblem 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 = {-17, 18}
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