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Simplifying z2 + 4iz + -8 = 0 Reorder the terms: -8 + 4iz + z2 = 0 Solving -8 + 4iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4iz + 8 + z2 = 0 + 8 Reorder the terms: -8 + 8 + 4iz + z2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4iz + z2 = 0 + 8 4iz + z2 = 0 + 8 Combine like terms: 0 + 8 = 8 4iz + z2 = 8 Add '-1z2' to each side of the equation. 4iz + z2 + -1z2 = 8 + -1z2 Combine like terms: z2 + -1z2 = 0 4iz + 0 = 8 + -1z2 4iz = 8 + -1z2 Divide each side by '4z'. i = 2z-1 + -0.25z Simplifying i = 2z-1 + -0.25z
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