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Simplifying -1n2 + 26n + 27 = 0 Reorder the terms: 27 + 26n + -1n2 = 0 Solving 27 + 26n + -1n2 = 0 Solving for variable 'n'. Factor a trinomial. (27 + -1n)(1 + n) = 0Subproblem 1
Set the factor '(27 + -1n)' equal to zero and attempt to solve: Simplifying 27 + -1n = 0 Solving 27 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1n = 0 + -27 -1n = 0 + -27 Combine like terms: 0 + -27 = -27 -1n = -27 Divide each side by '-1'. n = 27 Simplifying n = 27Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {27, -1}
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