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Simplifying (2n2 + 3n + -6)(5n2 + -2n + -8) = 0 Reorder the terms: (-6 + 3n + 2n2)(5n2 + -2n + -8) = 0 Reorder the terms: (-6 + 3n + 2n2)(-8 + -2n + 5n2) = 0 Multiply (-6 + 3n + 2n2) * (-8 + -2n + 5n2) (-6(-8 + -2n + 5n2) + 3n * (-8 + -2n + 5n2) + 2n2 * (-8 + -2n + 5n2)) = 0 ((-8 * -6 + -2n * -6 + 5n2 * -6) + 3n * (-8 + -2n + 5n2) + 2n2 * (-8 + -2n + 5n2)) = 0 ((48 + 12n + -30n2) + 3n * (-8 + -2n + 5n2) + 2n2 * (-8 + -2n + 5n2)) = 0 (48 + 12n + -30n2 + (-8 * 3n + -2n * 3n + 5n2 * 3n) + 2n2 * (-8 + -2n + 5n2)) = 0 (48 + 12n + -30n2 + (-24n + -6n2 + 15n3) + 2n2 * (-8 + -2n + 5n2)) = 0 (48 + 12n + -30n2 + -24n + -6n2 + 15n3 + (-8 * 2n2 + -2n * 2n2 + 5n2 * 2n2)) = 0 (48 + 12n + -30n2 + -24n + -6n2 + 15n3 + (-16n2 + -4n3 + 10n4)) = 0 Reorder the terms: (48 + 12n + -24n + -30n2 + -6n2 + -16n2 + 15n3 + -4n3 + 10n4) = 0 Combine like terms: 12n + -24n = -12n (48 + -12n + -30n2 + -6n2 + -16n2 + 15n3 + -4n3 + 10n4) = 0 Combine like terms: -30n2 + -6n2 = -36n2 (48 + -12n + -36n2 + -16n2 + 15n3 + -4n3 + 10n4) = 0 Combine like terms: -36n2 + -16n2 = -52n2 (48 + -12n + -52n2 + 15n3 + -4n3 + 10n4) = 0 Combine like terms: 15n3 + -4n3 = 11n3 (48 + -12n + -52n2 + 11n3 + 10n4) = 0 Solving 48 + -12n + -52n2 + 11n3 + 10n4 = 0 Solving for variable 'n'. The solution to this equation could not be determined.
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