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Simplifying (4n2 + -7n + -1)(3n2 + 2n + -1) = 0 Reorder the terms: (-1 + -7n + 4n2)(3n2 + 2n + -1) = 0 Reorder the terms: (-1 + -7n + 4n2)(-1 + 2n + 3n2) = 0 Multiply (-1 + -7n + 4n2) * (-1 + 2n + 3n2) (-1(-1 + 2n + 3n2) + -7n * (-1 + 2n + 3n2) + 4n2 * (-1 + 2n + 3n2)) = 0 ((-1 * -1 + 2n * -1 + 3n2 * -1) + -7n * (-1 + 2n + 3n2) + 4n2 * (-1 + 2n + 3n2)) = 0 ((1 + -2n + -3n2) + -7n * (-1 + 2n + 3n2) + 4n2 * (-1 + 2n + 3n2)) = 0 (1 + -2n + -3n2 + (-1 * -7n + 2n * -7n + 3n2 * -7n) + 4n2 * (-1 + 2n + 3n2)) = 0 (1 + -2n + -3n2 + (7n + -14n2 + -21n3) + 4n2 * (-1 + 2n + 3n2)) = 0 (1 + -2n + -3n2 + 7n + -14n2 + -21n3 + (-1 * 4n2 + 2n * 4n2 + 3n2 * 4n2)) = 0 (1 + -2n + -3n2 + 7n + -14n2 + -21n3 + (-4n2 + 8n3 + 12n4)) = 0 Reorder the terms: (1 + -2n + 7n + -3n2 + -14n2 + -4n2 + -21n3 + 8n3 + 12n4) = 0 Combine like terms: -2n + 7n = 5n (1 + 5n + -3n2 + -14n2 + -4n2 + -21n3 + 8n3 + 12n4) = 0 Combine like terms: -3n2 + -14n2 = -17n2 (1 + 5n + -17n2 + -4n2 + -21n3 + 8n3 + 12n4) = 0 Combine like terms: -17n2 + -4n2 = -21n2 (1 + 5n + -21n2 + -21n3 + 8n3 + 12n4) = 0 Combine like terms: -21n3 + 8n3 = -13n3 (1 + 5n + -21n2 + -13n3 + 12n4) = 0 Solving 1 + 5n + -21n2 + -13n3 + 12n4 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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