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Simplifying (5t2 + -1t + -7)(6t2 + 5t + -1) = 0 Reorder the terms: (-7 + -1t + 5t2)(6t2 + 5t + -1) = 0 Reorder the terms: (-7 + -1t + 5t2)(-1 + 5t + 6t2) = 0 Multiply (-7 + -1t + 5t2) * (-1 + 5t + 6t2) (-7(-1 + 5t + 6t2) + -1t * (-1 + 5t + 6t2) + 5t2 * (-1 + 5t + 6t2)) = 0 ((-1 * -7 + 5t * -7 + 6t2 * -7) + -1t * (-1 + 5t + 6t2) + 5t2 * (-1 + 5t + 6t2)) = 0 ((7 + -35t + -42t2) + -1t * (-1 + 5t + 6t2) + 5t2 * (-1 + 5t + 6t2)) = 0 (7 + -35t + -42t2 + (-1 * -1t + 5t * -1t + 6t2 * -1t) + 5t2 * (-1 + 5t + 6t2)) = 0 (7 + -35t + -42t2 + (1t + -5t2 + -6t3) + 5t2 * (-1 + 5t + 6t2)) = 0 (7 + -35t + -42t2 + 1t + -5t2 + -6t3 + (-1 * 5t2 + 5t * 5t2 + 6t2 * 5t2)) = 0 (7 + -35t + -42t2 + 1t + -5t2 + -6t3 + (-5t2 + 25t3 + 30t4)) = 0 Reorder the terms: (7 + -35t + 1t + -42t2 + -5t2 + -5t2 + -6t3 + 25t3 + 30t4) = 0 Combine like terms: -35t + 1t = -34t (7 + -34t + -42t2 + -5t2 + -5t2 + -6t3 + 25t3 + 30t4) = 0 Combine like terms: -42t2 + -5t2 = -47t2 (7 + -34t + -47t2 + -5t2 + -6t3 + 25t3 + 30t4) = 0 Combine like terms: -47t2 + -5t2 = -52t2 (7 + -34t + -52t2 + -6t3 + 25t3 + 30t4) = 0 Combine like terms: -6t3 + 25t3 = 19t3 (7 + -34t + -52t2 + 19t3 + 30t4) = 0 Solving 7 + -34t + -52t2 + 19t3 + 30t4 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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