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Simplifying z2 + -8iz + -15 = 0 Reorder the terms: -15 + -8iz + z2 = 0 Solving -15 + -8iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -8iz + 15 + z2 = 0 + 15 Reorder the terms: -15 + 15 + -8iz + z2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -8iz + z2 = 0 + 15 -8iz + z2 = 0 + 15 Combine like terms: 0 + 15 = 15 -8iz + z2 = 15 Add '-1z2' to each side of the equation. -8iz + z2 + -1z2 = 15 + -1z2 Combine like terms: z2 + -1z2 = 0 -8iz + 0 = 15 + -1z2 -8iz = 15 + -1z2 Divide each side by '-8z'. i = -1.875z-1 + 0.125z Simplifying i = -1.875z-1 + 0.125z
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