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Simplifying t(t + 1)(t + 2)(t + 3) = 3 Reorder the terms: t(1 + t)(t + 2)(t + 3) = 3 Reorder the terms: t(1 + t)(2 + t)(t + 3) = 3 Reorder the terms: t(1 + t)(2 + t)(3 + t) = 3 Multiply (1 + t) * (2 + t) t(1(2 + t) + t(2 + t))(3 + t) = 3 t((2 * 1 + t * 1) + t(2 + t))(3 + t) = 3 t((2 + 1t) + t(2 + t))(3 + t) = 3 t(2 + 1t + (2 * t + t * t))(3 + t) = 3 t(2 + 1t + (2t + t2))(3 + t) = 3 Combine like terms: 1t + 2t = 3t t(2 + 3t + t2)(3 + t) = 3 Multiply (2 + 3t + t2) * (3 + t) t(2(3 + t) + 3t * (3 + t) + t2(3 + t)) = 3 t((3 * 2 + t * 2) + 3t * (3 + t) + t2(3 + t)) = 3 t((6 + 2t) + 3t * (3 + t) + t2(3 + t)) = 3 t(6 + 2t + (3 * 3t + t * 3t) + t2(3 + t)) = 3 t(6 + 2t + (9t + 3t2) + t2(3 + t)) = 3 t(6 + 2t + 9t + 3t2 + (3 * t2 + t * t2)) = 3 t(6 + 2t + 9t + 3t2 + (3t2 + t3)) = 3 Combine like terms: 2t + 9t = 11t t(6 + 11t + 3t2 + 3t2 + t3) = 3 Combine like terms: 3t2 + 3t2 = 6t2 t(6 + 11t + 6t2 + t3) = 3 (6 * t + 11t * t + 6t2 * t + t3 * t) = 3 (6t + 11t2 + 6t3 + t4) = 3 Solving 6t + 11t2 + 6t3 + t4 = 3 Solving for variable 't'. Reorder the terms: -3 + 6t + 11t2 + 6t3 + t4 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 6t + 11t2 + 6t3 + t4 = 0 The solution to this equation could not be determined.
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