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Simplifying z2 + z + 5 + i = 0 Reorder the terms: 5 + i + z + z2 = 0 Solving 5 + i + z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + i + z + -5 + z2 = 0 + -5 Reorder the terms: 5 + -5 + i + z + z2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + i + z + z2 = 0 + -5 i + z + z2 = 0 + -5 Combine like terms: 0 + -5 = -5 i + z + z2 = -5 Add '-1z' to each side of the equation. i + z + -1z + z2 = -5 + -1z Combine like terms: z + -1z = 0 i + 0 + z2 = -5 + -1z i + z2 = -5 + -1z Add '-1z2' to each side of the equation. i + z2 + -1z2 = -5 + -1z + -1z2 Combine like terms: z2 + -1z2 = 0 i + 0 = -5 + -1z + -1z2 i = -5 + -1z + -1z2 Simplifying i = -5 + -1z + -1z2
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