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Simplifying n2 + -1n + -33306 = 0 Reorder the terms: -33306 + -1n + n2 = 0 Solving -33306 + -1n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-182 + -1n)(183 + -1n) = 0Subproblem 1
Set the factor '(-182 + -1n)' equal to zero and attempt to solve: Simplifying -182 + -1n = 0 Solving -182 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '182' to each side of the equation. -182 + 182 + -1n = 0 + 182 Combine like terms: -182 + 182 = 0 0 + -1n = 0 + 182 -1n = 0 + 182 Combine like terms: 0 + 182 = 182 -1n = 182 Divide each side by '-1'. n = -182 Simplifying n = -182Subproblem 2
Set the factor '(183 + -1n)' equal to zero and attempt to solve: Simplifying 183 + -1n = 0 Solving 183 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-183' to each side of the equation. 183 + -183 + -1n = 0 + -183 Combine like terms: 183 + -183 = 0 0 + -1n = 0 + -183 -1n = 0 + -183 Combine like terms: 0 + -183 = -183 -1n = -183 Divide each side by '-1'. n = 183 Simplifying n = 183Solution
n = {-182, 183}
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