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Simplifying (6n2 + -6n + -5)(7n2 + 6n + 5) = 0 Reorder the terms: (-5 + -6n + 6n2)(7n2 + 6n + 5) = 0 Reorder the terms: (-5 + -6n + 6n2)(5 + 6n + 7n2) = 0 Multiply (-5 + -6n + 6n2) * (5 + 6n + 7n2) (-5(5 + 6n + 7n2) + -6n * (5 + 6n + 7n2) + 6n2 * (5 + 6n + 7n2)) = 0 ((5 * -5 + 6n * -5 + 7n2 * -5) + -6n * (5 + 6n + 7n2) + 6n2 * (5 + 6n + 7n2)) = 0 ((-25 + -30n + -35n2) + -6n * (5 + 6n + 7n2) + 6n2 * (5 + 6n + 7n2)) = 0 (-25 + -30n + -35n2 + (5 * -6n + 6n * -6n + 7n2 * -6n) + 6n2 * (5 + 6n + 7n2)) = 0 (-25 + -30n + -35n2 + (-30n + -36n2 + -42n3) + 6n2 * (5 + 6n + 7n2)) = 0 (-25 + -30n + -35n2 + -30n + -36n2 + -42n3 + (5 * 6n2 + 6n * 6n2 + 7n2 * 6n2)) = 0 (-25 + -30n + -35n2 + -30n + -36n2 + -42n3 + (30n2 + 36n3 + 42n4)) = 0 Reorder the terms: (-25 + -30n + -30n + -35n2 + -36n2 + 30n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: -30n + -30n = -60n (-25 + -60n + -35n2 + -36n2 + 30n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: -35n2 + -36n2 = -71n2 (-25 + -60n + -71n2 + 30n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: -71n2 + 30n2 = -41n2 (-25 + -60n + -41n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: -42n3 + 36n3 = -6n3 (-25 + -60n + -41n2 + -6n3 + 42n4) = 0 Solving -25 + -60n + -41n2 + -6n3 + 42n4 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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