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Simplifying n2 + 301n + -12132 = 0 Reorder the terms: -12132 + 301n + n2 = 0 Solving -12132 + 301n + n2 = 0 Solving for variable 'n'. Factor a trinomial. (-337 + -1n)(36 + -1n) = 0Subproblem 1
Set the factor '(-337 + -1n)' equal to zero and attempt to solve: Simplifying -337 + -1n = 0 Solving -337 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '337' to each side of the equation. -337 + 337 + -1n = 0 + 337 Combine like terms: -337 + 337 = 0 0 + -1n = 0 + 337 -1n = 0 + 337 Combine like terms: 0 + 337 = 337 -1n = 337 Divide each side by '-1'. n = -337 Simplifying n = -337Subproblem 2
Set the factor '(36 + -1n)' equal to zero and attempt to solve: Simplifying 36 + -1n = 0 Solving 36 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1n = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1n = 0 + -36 -1n = 0 + -36 Combine like terms: 0 + -36 = -36 -1n = -36 Divide each side by '-1'. n = 36 Simplifying n = 36Solution
n = {-337, 36}
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