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Simplifying (6n2 + -6n + -5)(n2 + 6n + -5) = 0 Reorder the terms: (-5 + -6n + 6n2)(n2 + 6n + -5) = 0 Reorder the terms: (-5 + -6n + 6n2)(-5 + 6n + n2) = 0 Multiply (-5 + -6n + 6n2) * (-5 + 6n + n2) (-5(-5 + 6n + n2) + -6n * (-5 + 6n + n2) + 6n2 * (-5 + 6n + n2)) = 0 ((-5 * -5 + 6n * -5 + n2 * -5) + -6n * (-5 + 6n + n2) + 6n2 * (-5 + 6n + n2)) = 0 ((25 + -30n + -5n2) + -6n * (-5 + 6n + n2) + 6n2 * (-5 + 6n + n2)) = 0 (25 + -30n + -5n2 + (-5 * -6n + 6n * -6n + n2 * -6n) + 6n2 * (-5 + 6n + n2)) = 0 (25 + -30n + -5n2 + (30n + -36n2 + -6n3) + 6n2 * (-5 + 6n + n2)) = 0 (25 + -30n + -5n2 + 30n + -36n2 + -6n3 + (-5 * 6n2 + 6n * 6n2 + n2 * 6n2)) = 0 (25 + -30n + -5n2 + 30n + -36n2 + -6n3 + (-30n2 + 36n3 + 6n4)) = 0 Reorder the terms: (25 + -30n + 30n + -5n2 + -36n2 + -30n2 + -6n3 + 36n3 + 6n4) = 0 Combine like terms: -30n + 30n = 0 (25 + 0 + -5n2 + -36n2 + -30n2 + -6n3 + 36n3 + 6n4) = 0 (25 + -5n2 + -36n2 + -30n2 + -6n3 + 36n3 + 6n4) = 0 Combine like terms: -5n2 + -36n2 = -41n2 (25 + -41n2 + -30n2 + -6n3 + 36n3 + 6n4) = 0 Combine like terms: -41n2 + -30n2 = -71n2 (25 + -71n2 + -6n3 + 36n3 + 6n4) = 0 Combine like terms: -6n3 + 36n3 = 30n3 (25 + -71n2 + 30n3 + 6n4) = 0 Solving 25 + -71n2 + 30n3 + 6n4 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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