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Simplifying z2 + 5i * z + -4 = 0 Multiply i * z z2 + 5iz + -4 = 0 Reorder the terms: -4 + 5iz + z2 = 0 Solving -4 + 5iz + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5iz + 4 + z2 = 0 + 4 Reorder the terms: -4 + 4 + 5iz + z2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5iz + z2 = 0 + 4 5iz + z2 = 0 + 4 Combine like terms: 0 + 4 = 4 5iz + z2 = 4 Add '-1z2' to each side of the equation. 5iz + z2 + -1z2 = 4 + -1z2 Combine like terms: z2 + -1z2 = 0 5iz + 0 = 4 + -1z2 5iz = 4 + -1z2 Divide each side by '5z'. i = 0.8z-1 + -0.2z Simplifying i = 0.8z-1 + -0.2z
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