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Simplifying N2 + -5N + -22 = 2 Reorder the terms: -22 + -5N + N2 = 2 Solving -22 + -5N + N2 = 2 Solving for variable 'N'. Reorder the terms: -22 + -2 + -5N + N2 = 2 + -2 Combine like terms: -22 + -2 = -24 -24 + -5N + N2 = 2 + -2 Combine like terms: 2 + -2 = 0 -24 + -5N + N2 = 0 Factor a trinomial. (-3 + -1N)(8 + -1N) = 0Subproblem 1
Set the factor '(-3 + -1N)' equal to zero and attempt to solve: Simplifying -3 + -1N = 0 Solving -3 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1N = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1N = 0 + 3 -1N = 0 + 3 Combine like terms: 0 + 3 = 3 -1N = 3 Divide each side by '-1'. N = -3 Simplifying N = -3Subproblem 2
Set the factor '(8 + -1N)' equal to zero and attempt to solve: Simplifying 8 + -1N = 0 Solving 8 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1N = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1N = 0 + -8 -1N = 0 + -8 Combine like terms: 0 + -8 = -8 -1N = -8 Divide each side by '-1'. N = 8 Simplifying N = 8Solution
N = {-3, 8}
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