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Simplifying z * z + z + 1 + i = 0 Multiply z * z z2 + z + 1 + i = 0 Reorder the terms: 1 + i + z + z2 = 0 Solving 1 + i + z + z2 = 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 + i + z + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + i + z + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i + z + z2 = 0 + -1 i + z + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 i + z + z2 = -1 Add '-1z' to each side of the equation. i + z + -1z + z2 = -1 + -1z Combine like terms: z + -1z = 0 i + 0 + z2 = -1 + -1z i + z2 = -1 + -1z Add '-1z2' to each side of the equation. i + z2 + -1z2 = -1 + -1z + -1z2 Combine like terms: z2 + -1z2 = 0 i + 0 = -1 + -1z + -1z2 i = -1 + -1z + -1z2 Simplifying i = -1 + -1z + -1z2
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