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Simplifying z2 + 8i * z + -25 = 0 Multiply i * z z2 + 8iz + -25 = 0 Reorder the terms: -25 + 8iz + z2 = 0 Solving -25 + 8iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 8iz + 25 + z2 = 0 + 25 Reorder the terms: -25 + 25 + 8iz + z2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 8iz + z2 = 0 + 25 8iz + z2 = 0 + 25 Combine like terms: 0 + 25 = 25 8iz + z2 = 25 Add '-1z2' to each side of the equation. 8iz + z2 + -1z2 = 25 + -1z2 Combine like terms: z2 + -1z2 = 0 8iz + 0 = 25 + -1z2 8iz = 25 + -1z2 Divide each side by '8z'. i = 3.125z-1 + -0.125z Simplifying i = 3.125z-1 + -0.125z
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