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