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Simplifying (t + 3)(t + 3)(t + 3) + -16(t + 3) = 0 Reorder the terms: (3 + t)(t + 3)(t + 3) + -16(t + 3) = 0 Reorder the terms: (3 + t)(3 + t)(t + 3) + -16(t + 3) = 0 Reorder the terms: (3 + t)(3 + t)(3 + t) + -16(t + 3) = 0 Multiply (3 + t) * (3 + t) (3(3 + t) + t(3 + t))(3 + t) + -16(t + 3) = 0 ((3 * 3 + t * 3) + t(3 + t))(3 + t) + -16(t + 3) = 0 ((9 + 3t) + t(3 + t))(3 + t) + -16(t + 3) = 0 (9 + 3t + (3 * t + t * t))(3 + t) + -16(t + 3) = 0 (9 + 3t + (3t + t2))(3 + t) + -16(t + 3) = 0 Combine like terms: 3t + 3t = 6t (9 + 6t + t2)(3 + t) + -16(t + 3) = 0 Multiply (9 + 6t + t2) * (3 + t) (9(3 + t) + 6t * (3 + t) + t2(3 + t)) + -16(t + 3) = 0 ((3 * 9 + t * 9) + 6t * (3 + t) + t2(3 + t)) + -16(t + 3) = 0 ((27 + 9t) + 6t * (3 + t) + t2(3 + t)) + -16(t + 3) = 0 (27 + 9t + (3 * 6t + t * 6t) + t2(3 + t)) + -16(t + 3) = 0 (27 + 9t + (18t + 6t2) + t2(3 + t)) + -16(t + 3) = 0 (27 + 9t + 18t + 6t2 + (3 * t2 + t * t2)) + -16(t + 3) = 0 (27 + 9t + 18t + 6t2 + (3t2 + t3)) + -16(t + 3) = 0 Combine like terms: 9t + 18t = 27t (27 + 27t + 6t2 + 3t2 + t3) + -16(t + 3) = 0 Combine like terms: 6t2 + 3t2 = 9t2 (27 + 27t + 9t2 + t3) + -16(t + 3) = 0 Reorder the terms: 27 + 27t + 9t2 + t3 + -16(3 + t) = 0 27 + 27t + 9t2 + t3 + (3 * -16 + t * -16) = 0 27 + 27t + 9t2 + t3 + (-48 + -16t) = 0 Reorder the terms: 27 + -48 + 27t + -16t + 9t2 + t3 = 0 Combine like terms: 27 + -48 = -21 -21 + 27t + -16t + 9t2 + t3 = 0 Combine like terms: 27t + -16t = 11t -21 + 11t + 9t2 + t3 = 0 Solving -21 + 11t + 9t2 + t3 = 0 Solving for variable 't'. The solution to this equation could not be determined.
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