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Simplifying (N + 5)(2n2 + -1n + -7) = 0 Reorder the terms: (5 + N)(2n2 + -1n + -7) = 0 Reorder the terms: (5 + N)(-7 + -1n + 2n2) = 0 Multiply (5 + N) * (-7 + -1n + 2n2) (5(-7 + -1n + 2n2) + N(-7 + -1n + 2n2)) = 0 ((-7 * 5 + -1n * 5 + 2n2 * 5) + N(-7 + -1n + 2n2)) = 0 ((-35 + -5n + 10n2) + N(-7 + -1n + 2n2)) = 0 (-35 + -5n + 10n2 + (-7 * N + -1n * N + 2n2 * N)) = 0 (-35 + -5n + 10n2 + (-7N + -1nN + 2n2N)) = 0 Reorder the terms: (-35 + -7N + -5n + -1nN + 10n2 + 2n2N) = 0 (-35 + -7N + -5n + -1nN + 10n2 + 2n2N) = 0 Solving -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -7N + -5n + -1nN + 10n2 + 35 + 2n2N = 0 + 35 Reorder the terms: -35 + 35 + -7N + -5n + -1nN + 10n2 + 2n2N = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -7N + -5n + -1nN + 10n2 + 2n2N = 0 + 35 -7N + -5n + -1nN + 10n2 + 2n2N = 0 + 35 Combine like terms: 0 + 35 = 35 -7N + -5n + -1nN + 10n2 + 2n2N = 35 Add '5n' to each side of the equation. -7N + -5n + -1nN + 10n2 + 5n + 2n2N = 35 + 5n Reorder the terms: -7N + -5n + 5n + -1nN + 10n2 + 2n2N = 35 + 5n Combine like terms: -5n + 5n = 0 -7N + 0 + -1nN + 10n2 + 2n2N = 35 + 5n -7N + -1nN + 10n2 + 2n2N = 35 + 5n Add '-10n2' to each side of the equation. -7N + -1nN + 10n2 + -10n2 + 2n2N = 35 + 5n + -10n2 Combine like terms: 10n2 + -10n2 = 0 -7N + -1nN + 0 + 2n2N = 35 + 5n + -10n2 -7N + -1nN + 2n2N = 35 + 5n + -10n2 Reorder the terms: -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 35 + 5n + -10n2 + -35 + -5n + 10n2 Reorder the terms: -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 35 + -35 + 5n + -5n + -10n2 + 10n2 Combine like terms: 35 + -35 = 0 -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 0 + 5n + -5n + -10n2 + 10n2 -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 5n + -5n + -10n2 + 10n2 Combine like terms: 5n + -5n = 0 -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 0 + -10n2 + 10n2 -35 + -7N + -5n + -1nN + 10n2 + 2n2N = -10n2 + 10n2 Combine like terms: -10n2 + 10n2 = 0 -35 + -7N + -5n + -1nN + 10n2 + 2n2N = 0 The solution to this equation could not be determined.
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