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Simplifying z2 + -2iz + 8 = 0 Reorder the terms: 8 + -2iz + z2 = 0 Solving 8 + -2iz + 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 + -2iz + -8 + z2 = 0 + -8 Reorder the terms: 8 + -8 + -2iz + z2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2iz + z2 = 0 + -8 -2iz + z2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2iz + z2 = -8 Add '-1z2' to each side of the equation. -2iz + z2 + -1z2 = -8 + -1z2 Combine like terms: z2 + -1z2 = 0 -2iz + 0 = -8 + -1z2 -2iz = -8 + -1z2 Divide each side by '-2z'. i = 4z-1 + 0.5z Simplifying i = 4z-1 + 0.5z
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