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Simplifying N2 + -3N + -4420 = 0 Reorder the terms: -4420 + -3N + N2 = 0 Solving -4420 + -3N + N2 = 0 Solving for variable 'N'. Factor a trinomial. (-65 + -1N)(68 + -1N) = 0Subproblem 1
Set the factor '(-65 + -1N)' equal to zero and attempt to solve: Simplifying -65 + -1N = 0 Solving -65 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + -1N = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -1N = 0 + 65 -1N = 0 + 65 Combine like terms: 0 + 65 = 65 -1N = 65 Divide each side by '-1'. N = -65 Simplifying N = -65Subproblem 2
Set the factor '(68 + -1N)' equal to zero and attempt to solve: Simplifying 68 + -1N = 0 Solving 68 + -1N = 0 Move all terms containing N to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -1N = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -1N = 0 + -68 -1N = 0 + -68 Combine like terms: 0 + -68 = -68 -1N = -68 Divide each side by '-1'. N = 68 Simplifying N = 68Solution
N = {-65, 68}
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