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Simplifying (6n2 + -6n + 6)(7n2 + 6n + -5) = 0 Reorder the terms: (6 + -6n + 6n2)(7n2 + 6n + -5) = 0 Reorder the terms: (6 + -6n + 6n2)(-5 + 6n + 7n2) = 0 Multiply (6 + -6n + 6n2) * (-5 + 6n + 7n2) (6(-5 + 6n + 7n2) + -6n * (-5 + 6n + 7n2) + 6n2 * (-5 + 6n + 7n2)) = 0 ((-5 * 6 + 6n * 6 + 7n2 * 6) + -6n * (-5 + 6n + 7n2) + 6n2 * (-5 + 6n + 7n2)) = 0 ((-30 + 36n + 42n2) + -6n * (-5 + 6n + 7n2) + 6n2 * (-5 + 6n + 7n2)) = 0 (-30 + 36n + 42n2 + (-5 * -6n + 6n * -6n + 7n2 * -6n) + 6n2 * (-5 + 6n + 7n2)) = 0 (-30 + 36n + 42n2 + (30n + -36n2 + -42n3) + 6n2 * (-5 + 6n + 7n2)) = 0 (-30 + 36n + 42n2 + 30n + -36n2 + -42n3 + (-5 * 6n2 + 6n * 6n2 + 7n2 * 6n2)) = 0 (-30 + 36n + 42n2 + 30n + -36n2 + -42n3 + (-30n2 + 36n3 + 42n4)) = 0 Reorder the terms: (-30 + 36n + 30n + 42n2 + -36n2 + -30n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: 36n + 30n = 66n (-30 + 66n + 42n2 + -36n2 + -30n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: 42n2 + -36n2 = 6n2 (-30 + 66n + 6n2 + -30n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: 6n2 + -30n2 = -24n2 (-30 + 66n + -24n2 + -42n3 + 36n3 + 42n4) = 0 Combine like terms: -42n3 + 36n3 = -6n3 (-30 + 66n + -24n2 + -6n3 + 42n4) = 0 Solving -30 + 66n + -24n2 + -6n3 + 42n4 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '6'. 6(-5 + 11n + -4n2 + -1n3 + 7n4) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-5 + 11n + -4n2 + -1n3 + 7n4)' equal to zero and attempt to solve: Simplifying -5 + 11n + -4n2 + -1n3 + 7n4 = 0 Solving -5 + 11n + -4n2 + -1n3 + 7n4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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