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Simplifying N2 + -6 = N Reorder the terms: -6 + N2 = N Solving -6 + N2 = N Solving for variable 'N'. Reorder the terms: -6 + -1N + N2 = N + -1N Combine like terms: N + -1N = 0 -6 + -1N + N2 = 0 Factor a trinomial. (-2 + -1N)(3 + -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 '(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 = 3Solution
N = {-2, 3}
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