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Simplifying z2 + 2iz = 1 + i Reorder the terms: 2iz + z2 = 1 + i Solving 2iz + z2 = 1 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 2iz + -1i + z2 = 1 + i + -1i Reorder the terms: -1i + 2iz + z2 = 1 + i + -1i Combine like terms: i + -1i = 0 -1i + 2iz + z2 = 1 + 0 -1i + 2iz + z2 = 1 Add '-1z2' to each side of the equation. -1i + 2iz + z2 + -1z2 = 1 + -1z2 Combine like terms: z2 + -1z2 = 0 -1i + 2iz + 0 = 1 + -1z2 -1i + 2iz = 1 + -1z2 Reorder the terms: -1 + -1i + 2iz + z2 = 1 + -1z2 + -1 + z2 Reorder the terms: -1 + -1i + 2iz + z2 = 1 + -1 + -1z2 + z2 Combine like terms: 1 + -1 = 0 -1 + -1i + 2iz + z2 = 0 + -1z2 + z2 -1 + -1i + 2iz + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -1 + -1i + 2iz + z2 = 0 The solution to this equation could not be determined.
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