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Simplifying z2 + 4iz + 12 = 0 Reorder the terms: 12 + 4iz + z2 = 0 Solving 12 + 4iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4iz + -12 + z2 = 0 + -12 Reorder the terms: 12 + -12 + 4iz + z2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4iz + z2 = 0 + -12 4iz + z2 = 0 + -12 Combine like terms: 0 + -12 = -12 4iz + z2 = -12 Add '-1z2' to each side of the equation. 4iz + z2 + -1z2 = -12 + -1z2 Combine like terms: z2 + -1z2 = 0 4iz + 0 = -12 + -1z2 4iz = -12 + -1z2 Divide each side by '4z'. i = -3z-1 + -0.25z Simplifying i = -3z-1 + -0.25z
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