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Simplifying n2 + -16n + -40 = -4 Reorder the terms: -40 + -16n + n2 = -4 Solving -40 + -16n + n2 = -4 Solving for variable 'n'. Reorder the terms: -40 + 4 + -16n + n2 = -4 + 4 Combine like terms: -40 + 4 = -36 -36 + -16n + n2 = -4 + 4 Combine like terms: -4 + 4 = 0 -36 + -16n + n2 = 0 Factor a trinomial. (-2 + -1n)(18 + -1n) = 0Subproblem 1
Set the factor '(-2 + -1n)' equal to zero and attempt to solve: Simplifying -2 + -1n = 0 Solving -2 + -1n = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n = 0 + 2 -1n = 0 + 2 Combine like terms: 0 + 2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2Subproblem 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 = {-2, 18}
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