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Simplifying (t + 4)(t + 3)(t + -1) = 39 Reorder the terms: (4 + t)(t + 3)(t + -1) = 39 Reorder the terms: (4 + t)(3 + t)(t + -1) = 39 Reorder the terms: (4 + t)(3 + t)(-1 + t) = 39 Multiply (4 + t) * (3 + t) (4(3 + t) + t(3 + t))(-1 + t) = 39 ((3 * 4 + t * 4) + t(3 + t))(-1 + t) = 39 ((12 + 4t) + t(3 + t))(-1 + t) = 39 (12 + 4t + (3 * t + t * t))(-1 + t) = 39 (12 + 4t + (3t + t2))(-1 + t) = 39 Combine like terms: 4t + 3t = 7t (12 + 7t + t2)(-1 + t) = 39 Multiply (12 + 7t + t2) * (-1 + t) (12(-1 + t) + 7t * (-1 + t) + t2(-1 + t)) = 39 ((-1 * 12 + t * 12) + 7t * (-1 + t) + t2(-1 + t)) = 39 ((-12 + 12t) + 7t * (-1 + t) + t2(-1 + t)) = 39 (-12 + 12t + (-1 * 7t + t * 7t) + t2(-1 + t)) = 39 (-12 + 12t + (-7t + 7t2) + t2(-1 + t)) = 39 (-12 + 12t + -7t + 7t2 + (-1 * t2 + t * t2)) = 39 (-12 + 12t + -7t + 7t2 + (-1t2 + t3)) = 39 Combine like terms: 12t + -7t = 5t (-12 + 5t + 7t2 + -1t2 + t3) = 39 Combine like terms: 7t2 + -1t2 = 6t2 (-12 + 5t + 6t2 + t3) = 39 Solving -12 + 5t + 6t2 + t3 = 39 Solving for variable 't'. Reorder the terms: -12 + -39 + 5t + 6t2 + t3 = 39 + -39 Combine like terms: -12 + -39 = -51 -51 + 5t + 6t2 + t3 = 39 + -39 Combine like terms: 39 + -39 = 0 -51 + 5t + 6t2 + t3 = 0 The solution to this equation could not be determined.
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