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Simplifying z2 + -2(4 + -2i) * z + -16i = 0 Reorder the terms for easier multiplication: z2 + -2z(4 + -2i) + -16i = 0 z2 + (4 * -2z + -2i * -2z) + -16i = 0 Reorder the terms: z2 + (4iz + -8z) + -16i = 0 z2 + (4iz + -8z) + -16i = 0 Reorder the terms: -16i + 4iz + -8z + z2 = 0 Solving -16i + 4iz + -8z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8z' to each side of the equation. -16i + 4iz + -8z + 8z + z2 = 0 + 8z Combine like terms: -8z + 8z = 0 -16i + 4iz + 0 + z2 = 0 + 8z -16i + 4iz + z2 = 0 + 8z Remove the zero: -16i + 4iz + z2 = 8z Add '-1z2' to each side of the equation. -16i + 4iz + z2 + -1z2 = 8z + -1z2 Combine like terms: z2 + -1z2 = 0 -16i + 4iz + 0 = 8z + -1z2 -16i + 4iz = 8z + -1z2 Reorder the terms: -16i + 4iz + -8z + z2 = 8z + -8z + -1z2 + z2 Combine like terms: 8z + -8z = 0 -16i + 4iz + -8z + z2 = 0 + -1z2 + z2 -16i + 4iz + -8z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -16i + 4iz + -8z + z2 = 0 The solution to this equation could not be determined.
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