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Simplifying (z + 1)(4i + -1z) = 0 Reorder the terms: (1 + z)(4i + -1z) = 0 Multiply (1 + z) * (4i + -1z) (1(4i + -1z) + z(4i + -1z)) = 0 ((4i * 1 + -1z * 1) + z(4i + -1z)) = 0 ((4i + -1z) + z(4i + -1z)) = 0 (4i + -1z + (4i * z + -1z * z)) = 0 (4i + -1z + (4iz + -1z2)) = 0 Reorder the terms: (4i + 4iz + -1z + -1z2) = 0 (4i + 4iz + -1z + -1z2) = 0 Solving 4i + 4iz + -1z + -1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'z' to each side of the equation. 4i + 4iz + -1z + z + -1z2 = 0 + z Combine like terms: -1z + z = 0 4i + 4iz + 0 + -1z2 = 0 + z 4i + 4iz + -1z2 = 0 + z Remove the zero: 4i + 4iz + -1z2 = z Add 'z2' to each side of the equation. 4i + 4iz + -1z2 + z2 = z + z2 Combine like terms: -1z2 + z2 = 0 4i + 4iz + 0 = z + z2 4i + 4iz = z + z2 Reorder the terms: 4i + 4iz + -1z + -1z2 = z + -1z + z2 + -1z2 Combine like terms: z + -1z = 0 4i + 4iz + -1z + -1z2 = 0 + z2 + -1z2 4i + 4iz + -1z + -1z2 = z2 + -1z2 Combine like terms: z2 + -1z2 = 0 4i + 4iz + -1z + -1z2 = 0 The solution to this equation could not be determined.
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