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Simplifying (t + -1)(t + 5)(2t + -1) = 0 Reorder the terms: (-1 + t)(t + 5)(2t + -1) = 0 Reorder the terms: (-1 + t)(5 + t)(2t + -1) = 0 Reorder the terms: (-1 + t)(5 + t)(-1 + 2t) = 0 Multiply (-1 + t) * (5 + t) (-1(5 + t) + t(5 + t))(-1 + 2t) = 0 ((5 * -1 + t * -1) + t(5 + t))(-1 + 2t) = 0 ((-5 + -1t) + t(5 + t))(-1 + 2t) = 0 (-5 + -1t + (5 * t + t * t))(-1 + 2t) = 0 (-5 + -1t + (5t + t2))(-1 + 2t) = 0 Combine like terms: -1t + 5t = 4t (-5 + 4t + t2)(-1 + 2t) = 0 Multiply (-5 + 4t + t2) * (-1 + 2t) (-5(-1 + 2t) + 4t * (-1 + 2t) + t2(-1 + 2t)) = 0 ((-1 * -5 + 2t * -5) + 4t * (-1 + 2t) + t2(-1 + 2t)) = 0 ((5 + -10t) + 4t * (-1 + 2t) + t2(-1 + 2t)) = 0 (5 + -10t + (-1 * 4t + 2t * 4t) + t2(-1 + 2t)) = 0 (5 + -10t + (-4t + 8t2) + t2(-1 + 2t)) = 0 (5 + -10t + -4t + 8t2 + (-1 * t2 + 2t * t2)) = 0 (5 + -10t + -4t + 8t2 + (-1t2 + 2t3)) = 0 Combine like terms: -10t + -4t = -14t (5 + -14t + 8t2 + -1t2 + 2t3) = 0 Combine like terms: 8t2 + -1t2 = 7t2 (5 + -14t + 7t2 + 2t3) = 0 Solving 5 + -14t + 7t2 + 2t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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