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