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Simplifying z(z + -1)(z + 3) = 11 + 3i Reorder the terms: z(-1 + z)(z + 3) = 11 + 3i Reorder the terms: z(-1 + z)(3 + z) = 11 + 3i Multiply (-1 + z) * (3 + z) z(-1(3 + z) + z(3 + z)) = 11 + 3i z((3 * -1 + z * -1) + z(3 + z)) = 11 + 3i z((-3 + -1z) + z(3 + z)) = 11 + 3i z(-3 + -1z + (3 * z + z * z)) = 11 + 3i z(-3 + -1z + (3z + z2)) = 11 + 3i Combine like terms: -1z + 3z = 2z z(-3 + 2z + z2) = 11 + 3i (-3 * z + 2z * z + z2 * z) = 11 + 3i (-3z + 2z2 + z3) = 11 + 3i Solving -3z + 2z2 + z3 = 11 + 3i Solving for variable 'z'. Reorder the terms: -11 + -3i + -3z + 2z2 + z3 = 11 + 3i + -11 + -3i Reorder the terms: -11 + -3i + -3z + 2z2 + z3 = 11 + -11 + 3i + -3i Combine like terms: 11 + -11 = 0 -11 + -3i + -3z + 2z2 + z3 = 0 + 3i + -3i -11 + -3i + -3z + 2z2 + z3 = 3i + -3i Combine like terms: 3i + -3i = 0 -11 + -3i + -3z + 2z2 + z3 = 0 The solution to this equation could not be determined.
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