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