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Simplifying (N + 8)(6n2 + -1n + -4) = 0 Reorder the terms: (8 + N)(6n2 + -1n + -4) = 0 Reorder the terms: (8 + N)(-4 + -1n + 6n2) = 0 Multiply (8 + N) * (-4 + -1n + 6n2) (8(-4 + -1n + 6n2) + N(-4 + -1n + 6n2)) = 0 ((-4 * 8 + -1n * 8 + 6n2 * 8) + N(-4 + -1n + 6n2)) = 0 ((-32 + -8n + 48n2) + N(-4 + -1n + 6n2)) = 0 (-32 + -8n + 48n2 + (-4 * N + -1n * N + 6n2 * N)) = 0 (-32 + -8n + 48n2 + (-4N + -1nN + 6n2N)) = 0 Reorder the terms: (-32 + -4N + -8n + -1nN + 48n2 + 6n2N) = 0 (-32 + -4N + -8n + -1nN + 48n2 + 6n2N) = 0 Solving -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -4N + -8n + -1nN + 48n2 + 32 + 6n2N = 0 + 32 Reorder the terms: -32 + 32 + -4N + -8n + -1nN + 48n2 + 6n2N = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -4N + -8n + -1nN + 48n2 + 6n2N = 0 + 32 -4N + -8n + -1nN + 48n2 + 6n2N = 0 + 32 Combine like terms: 0 + 32 = 32 -4N + -8n + -1nN + 48n2 + 6n2N = 32 Add '8n' to each side of the equation. -4N + -8n + -1nN + 48n2 + 8n + 6n2N = 32 + 8n Reorder the terms: -4N + -8n + 8n + -1nN + 48n2 + 6n2N = 32 + 8n Combine like terms: -8n + 8n = 0 -4N + 0 + -1nN + 48n2 + 6n2N = 32 + 8n -4N + -1nN + 48n2 + 6n2N = 32 + 8n Add '-48n2' to each side of the equation. -4N + -1nN + 48n2 + -48n2 + 6n2N = 32 + 8n + -48n2 Combine like terms: 48n2 + -48n2 = 0 -4N + -1nN + 0 + 6n2N = 32 + 8n + -48n2 -4N + -1nN + 6n2N = 32 + 8n + -48n2 Reorder the terms: -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 32 + 8n + -48n2 + -32 + -8n + 48n2 Reorder the terms: -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 32 + -32 + 8n + -8n + -48n2 + 48n2 Combine like terms: 32 + -32 = 0 -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 0 + 8n + -8n + -48n2 + 48n2 -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 8n + -8n + -48n2 + 48n2 Combine like terms: 8n + -8n = 0 -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 0 + -48n2 + 48n2 -32 + -4N + -8n + -1nN + 48n2 + 6n2N = -48n2 + 48n2 Combine like terms: -48n2 + 48n2 = 0 -32 + -4N + -8n + -1nN + 48n2 + 6n2N = 0 The solution to this equation could not be determined.
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