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Simplifying z2 + zi + 2 = 0 Reorder the terms: 2 + iz + z2 = 0 Solving 2 + iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + iz + -2 + z2 = 0 + -2 Reorder the terms: 2 + -2 + iz + z2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + iz + z2 = 0 + -2 iz + z2 = 0 + -2 Combine like terms: 0 + -2 = -2 iz + z2 = -2 Add '-1z2' to each side of the equation. iz + z2 + -1z2 = -2 + -1z2 Combine like terms: z2 + -1z2 = 0 iz + 0 = -2 + -1z2 iz = -2 + -1z2 Divide each side by 'z'. i = -2z-1 + -1z Simplifying i = -2z-1 + -1z
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