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Simplifying (8t2 + -1t + -6)(4t2 + 8t + -1) = 0 Reorder the terms: (-6 + -1t + 8t2)(4t2 + 8t + -1) = 0 Reorder the terms: (-6 + -1t + 8t2)(-1 + 8t + 4t2) = 0 Multiply (-6 + -1t + 8t2) * (-1 + 8t + 4t2) (-6(-1 + 8t + 4t2) + -1t * (-1 + 8t + 4t2) + 8t2 * (-1 + 8t + 4t2)) = 0 ((-1 * -6 + 8t * -6 + 4t2 * -6) + -1t * (-1 + 8t + 4t2) + 8t2 * (-1 + 8t + 4t2)) = 0 ((6 + -48t + -24t2) + -1t * (-1 + 8t + 4t2) + 8t2 * (-1 + 8t + 4t2)) = 0 (6 + -48t + -24t2 + (-1 * -1t + 8t * -1t + 4t2 * -1t) + 8t2 * (-1 + 8t + 4t2)) = 0 (6 + -48t + -24t2 + (1t + -8t2 + -4t3) + 8t2 * (-1 + 8t + 4t2)) = 0 (6 + -48t + -24t2 + 1t + -8t2 + -4t3 + (-1 * 8t2 + 8t * 8t2 + 4t2 * 8t2)) = 0 (6 + -48t + -24t2 + 1t + -8t2 + -4t3 + (-8t2 + 64t3 + 32t4)) = 0 Reorder the terms: (6 + -48t + 1t + -24t2 + -8t2 + -8t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -48t + 1t = -47t (6 + -47t + -24t2 + -8t2 + -8t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -24t2 + -8t2 = -32t2 (6 + -47t + -32t2 + -8t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -32t2 + -8t2 = -40t2 (6 + -47t + -40t2 + -4t3 + 64t3 + 32t4) = 0 Combine like terms: -4t3 + 64t3 = 60t3 (6 + -47t + -40t2 + 60t3 + 32t4) = 0 Solving 6 + -47t + -40t2 + 60t3 + 32t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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