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Simplifying z(2 + i) = 1 + -4i (2 * z + i * z) = 1 + -4i Reorder the terms: (iz + 2z) = 1 + -4i (iz + 2z) = 1 + -4i Solving iz + 2z = 1 + -4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4i' to each side of the equation. iz + 4i + 2z = 1 + -4i + 4i Reorder the terms: 4i + iz + 2z = 1 + -4i + 4i Combine like terms: -4i + 4i = 0 4i + iz + 2z = 1 + 0 4i + iz + 2z = 1 Add '-2z' to each side of the equation. 4i + iz + 2z + -2z = 1 + -2z Combine like terms: 2z + -2z = 0 4i + iz + 0 = 1 + -2z 4i + iz = 1 + -2z Reorder the terms: -1 + 4i + iz + 2z = 1 + -2z + -1 + 2z Reorder the terms: -1 + 4i + iz + 2z = 1 + -1 + -2z + 2z Combine like terms: 1 + -1 = 0 -1 + 4i + iz + 2z = 0 + -2z + 2z -1 + 4i + iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 -1 + 4i + iz + 2z = 0 The solution to this equation could not be determined.
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