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Simplifying z2 + 4z * i + 7 = 0 Multiply z * i z2 + 4iz + 7 = 0 Reorder the terms: 7 + 4iz + z2 = 0 Solving 7 + 4iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 4iz + -7 + z2 = 0 + -7 Reorder the terms: 7 + -7 + 4iz + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4iz + z2 = 0 + -7 4iz + z2 = 0 + -7 Combine like terms: 0 + -7 = -7 4iz + z2 = -7 Add '-1z2' to each side of the equation. 4iz + z2 + -1z2 = -7 + -1z2 Combine like terms: z2 + -1z2 = 0 4iz + 0 = -7 + -1z2 4iz = -7 + -1z2 Divide each side by '4z'. i = -1.75z-1 + -0.25z Simplifying i = -1.75z-1 + -0.25z
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