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Simplifying z2 + -8iz + -16 = 0 Reorder the terms: -16 + -8iz + z2 = 0 Solving -16 + -8iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -8iz + 16 + z2 = 0 + 16 Reorder the terms: -16 + 16 + -8iz + z2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8iz + z2 = 0 + 16 -8iz + z2 = 0 + 16 Combine like terms: 0 + 16 = 16 -8iz + z2 = 16 Add '-1z2' to each side of the equation. -8iz + z2 + -1z2 = 16 + -1z2 Combine like terms: z2 + -1z2 = 0 -8iz + 0 = 16 + -1z2 -8iz = 16 + -1z2 Divide each side by '-8z'. i = -2z-1 + 0.125z Simplifying i = -2z-1 + 0.125z
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