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Simplifying z2 + -4z + 4iz = 4i Reorder the terms: 4iz + -4z + z2 = 4i Solving 4iz + -4z + z2 = 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 4iz + -4z + -4i + z2 = 4i + -4i Reorder the terms: -4i + 4iz + -4z + z2 = 4i + -4i Combine like terms: 4i + -4i = 0 -4i + 4iz + -4z + z2 = 0 Add '4z' to each side of the equation. -4i + 4iz + -4z + 4z + z2 = 0 + 4z Combine like terms: -4z + 4z = 0 -4i + 4iz + 0 + z2 = 0 + 4z -4i + 4iz + z2 = 0 + 4z Remove the zero: -4i + 4iz + z2 = 4z Add '-1z2' to each side of the equation. -4i + 4iz + z2 + -1z2 = 4z + -1z2 Combine like terms: z2 + -1z2 = 0 -4i + 4iz + 0 = 4z + -1z2 -4i + 4iz = 4z + -1z2 Reorder the terms: -4i + 4iz + -4z + z2 = 4z + -4z + -1z2 + z2 Combine like terms: 4z + -4z = 0 -4i + 4iz + -4z + z2 = 0 + -1z2 + z2 -4i + 4iz + -4z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -4i + 4iz + -4z + z2 = 0 The solution to this equation could not be determined.
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