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Simplifying z4 + (4 + -2i) * z2 + -8i = 0 Reorder the terms for easier multiplication: z4 + z2(4 + -2i) + -8i = 0 z4 + (4 * z2 + -2i * z2) + -8i = 0 Reorder the terms: z4 + (-2iz2 + 4z2) + -8i = 0 z4 + (-2iz2 + 4z2) + -8i = 0 Reorder the terms: -8i + -2iz2 + 4z2 + z4 = 0 Solving -8i + -2iz2 + 4z2 + z4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4z2' to each side of the equation. -8i + -2iz2 + 4z2 + -4z2 + z4 = 0 + -4z2 Combine like terms: 4z2 + -4z2 = 0 -8i + -2iz2 + 0 + z4 = 0 + -4z2 -8i + -2iz2 + z4 = 0 + -4z2 Remove the zero: -8i + -2iz2 + z4 = -4z2 Add '-1z4' to each side of the equation. -8i + -2iz2 + z4 + -1z4 = -4z2 + -1z4 Combine like terms: z4 + -1z4 = 0 -8i + -2iz2 + 0 = -4z2 + -1z4 -8i + -2iz2 = -4z2 + -1z4 Reorder the terms: -8i + -2iz2 + 4z2 + z4 = -4z2 + 4z2 + -1z4 + z4 Combine like terms: -4z2 + 4z2 = 0 -8i + -2iz2 + 4z2 + z4 = 0 + -1z4 + z4 -8i + -2iz2 + 4z2 + z4 = -1z4 + z4 Combine like terms: -1z4 + z4 = 0 -8i + -2iz2 + 4z2 + z4 = 0 The solution to this equation could not be determined.
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