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Simplifying z2 + 2iz + -5 = 0 Reorder the terms: -5 + 2iz + z2 = 0 Solving -5 + 2iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2iz + 5 + z2 = 0 + 5 Reorder the terms: -5 + 5 + 2iz + z2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2iz + z2 = 0 + 5 2iz + z2 = 0 + 5 Combine like terms: 0 + 5 = 5 2iz + z2 = 5 Add '-1z2' to each side of the equation. 2iz + z2 + -1z2 = 5 + -1z2 Combine like terms: z2 + -1z2 = 0 2iz + 0 = 5 + -1z2 2iz = 5 + -1z2 Divide each side by '2z'. i = 2.5z-1 + -0.5z Simplifying i = 2.5z-1 + -0.5z
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