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Simplifying n2 + -6n + -4 = -9 Reorder the terms: -4 + -6n + n2 = -9 Solving -4 + -6n + n2 = -9 Solving for variable 'n'. Reorder the terms: -4 + 9 + -6n + n2 = -9 + 9 Combine like terms: -4 + 9 = 5 5 + -6n + n2 = -9 + 9 Combine like terms: -9 + 9 = 0 5 + -6n + n2 = 0 Factor a trinomial. (1 + -1n)(5 + -1n) = 0Subproblem 1
Set the factor '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Divide each side by '-1'. n = 1 Simplifying n = 1Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve: Simplifying 5 + -1n = 0 Solving 5 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5Solution
n = {1, 5}
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