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Simplifying (9t2 + -6t + 5)(7t2 + 4t + -6) = 0 Reorder the terms: (5 + -6t + 9t2)(7t2 + 4t + -6) = 0 Reorder the terms: (5 + -6t + 9t2)(-6 + 4t + 7t2) = 0 Multiply (5 + -6t + 9t2) * (-6 + 4t + 7t2) (5(-6 + 4t + 7t2) + -6t * (-6 + 4t + 7t2) + 9t2 * (-6 + 4t + 7t2)) = 0 ((-6 * 5 + 4t * 5 + 7t2 * 5) + -6t * (-6 + 4t + 7t2) + 9t2 * (-6 + 4t + 7t2)) = 0 ((-30 + 20t + 35t2) + -6t * (-6 + 4t + 7t2) + 9t2 * (-6 + 4t + 7t2)) = 0 (-30 + 20t + 35t2 + (-6 * -6t + 4t * -6t + 7t2 * -6t) + 9t2 * (-6 + 4t + 7t2)) = 0 (-30 + 20t + 35t2 + (36t + -24t2 + -42t3) + 9t2 * (-6 + 4t + 7t2)) = 0 (-30 + 20t + 35t2 + 36t + -24t2 + -42t3 + (-6 * 9t2 + 4t * 9t2 + 7t2 * 9t2)) = 0 (-30 + 20t + 35t2 + 36t + -24t2 + -42t3 + (-54t2 + 36t3 + 63t4)) = 0 Reorder the terms: (-30 + 20t + 36t + 35t2 + -24t2 + -54t2 + -42t3 + 36t3 + 63t4) = 0 Combine like terms: 20t + 36t = 56t (-30 + 56t + 35t2 + -24t2 + -54t2 + -42t3 + 36t3 + 63t4) = 0 Combine like terms: 35t2 + -24t2 = 11t2 (-30 + 56t + 11t2 + -54t2 + -42t3 + 36t3 + 63t4) = 0 Combine like terms: 11t2 + -54t2 = -43t2 (-30 + 56t + -43t2 + -42t3 + 36t3 + 63t4) = 0 Combine like terms: -42t3 + 36t3 = -6t3 (-30 + 56t + -43t2 + -6t3 + 63t4) = 0 Solving -30 + 56t + -43t2 + -6t3 + 63t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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