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Simplifying (2z + 3)(2z + 3)(2z + 3) = -27i Reorder the terms: (3 + 2z)(2z + 3)(2z + 3) = -27i Reorder the terms: (3 + 2z)(3 + 2z)(2z + 3) = -27i Reorder the terms: (3 + 2z)(3 + 2z)(3 + 2z) = -27i Multiply (3 + 2z) * (3 + 2z) (3(3 + 2z) + 2z * (3 + 2z))(3 + 2z) = -27i ((3 * 3 + 2z * 3) + 2z * (3 + 2z))(3 + 2z) = -27i ((9 + 6z) + 2z * (3 + 2z))(3 + 2z) = -27i (9 + 6z + (3 * 2z + 2z * 2z))(3 + 2z) = -27i (9 + 6z + (6z + 4z2))(3 + 2z) = -27i Combine like terms: 6z + 6z = 12z (9 + 12z + 4z2)(3 + 2z) = -27i Multiply (9 + 12z + 4z2) * (3 + 2z) (9(3 + 2z) + 12z * (3 + 2z) + 4z2 * (3 + 2z)) = -27i ((3 * 9 + 2z * 9) + 12z * (3 + 2z) + 4z2 * (3 + 2z)) = -27i ((27 + 18z) + 12z * (3 + 2z) + 4z2 * (3 + 2z)) = -27i (27 + 18z + (3 * 12z + 2z * 12z) + 4z2 * (3 + 2z)) = -27i (27 + 18z + (36z + 24z2) + 4z2 * (3 + 2z)) = -27i (27 + 18z + 36z + 24z2 + (3 * 4z2 + 2z * 4z2)) = -27i (27 + 18z + 36z + 24z2 + (12z2 + 8z3)) = -27i Combine like terms: 18z + 36z = 54z (27 + 54z + 24z2 + 12z2 + 8z3) = -27i Combine like terms: 24z2 + 12z2 = 36z2 (27 + 54z + 36z2 + 8z3) = -27i Solving 27 + 54z + 36z2 + 8z3 = -27i Solving for variable 'z'. Reorder the terms: 27 + 27i + 54z + 36z2 + 8z3 = -27i + 27i Combine like terms: -27i + 27i = 0 27 + 27i + 54z + 36z2 + 8z3 = 0 The solution to this equation could not be determined.
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