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Simplifying (8t2 + -6t + 5)(7t2 + 4t + -6) = 0 Reorder the terms: (5 + -6t + 8t2)(7t2 + 4t + -6) = 0 Reorder the terms: (5 + -6t + 8t2)(-6 + 4t + 7t2) = 0 Multiply (5 + -6t + 8t2) * (-6 + 4t + 7t2) (5(-6 + 4t + 7t2) + -6t * (-6 + 4t + 7t2) + 8t2 * (-6 + 4t + 7t2)) = 0 ((-6 * 5 + 4t * 5 + 7t2 * 5) + -6t * (-6 + 4t + 7t2) + 8t2 * (-6 + 4t + 7t2)) = 0 ((-30 + 20t + 35t2) + -6t * (-6 + 4t + 7t2) + 8t2 * (-6 + 4t + 7t2)) = 0 (-30 + 20t + 35t2 + (-6 * -6t + 4t * -6t + 7t2 * -6t) + 8t2 * (-6 + 4t + 7t2)) = 0 (-30 + 20t + 35t2 + (36t + -24t2 + -42t3) + 8t2 * (-6 + 4t + 7t2)) = 0 (-30 + 20t + 35t2 + 36t + -24t2 + -42t3 + (-6 * 8t2 + 4t * 8t2 + 7t2 * 8t2)) = 0 (-30 + 20t + 35t2 + 36t + -24t2 + -42t3 + (-48t2 + 32t3 + 56t4)) = 0 Reorder the terms: (-30 + 20t + 36t + 35t2 + -24t2 + -48t2 + -42t3 + 32t3 + 56t4) = 0 Combine like terms: 20t + 36t = 56t (-30 + 56t + 35t2 + -24t2 + -48t2 + -42t3 + 32t3 + 56t4) = 0 Combine like terms: 35t2 + -24t2 = 11t2 (-30 + 56t + 11t2 + -48t2 + -42t3 + 32t3 + 56t4) = 0 Combine like terms: 11t2 + -48t2 = -37t2 (-30 + 56t + -37t2 + -42t3 + 32t3 + 56t4) = 0 Combine like terms: -42t3 + 32t3 = -10t3 (-30 + 56t + -37t2 + -10t3 + 56t4) = 0 Solving -30 + 56t + -37t2 + -10t3 + 56t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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