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