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Simplifying z4 + (1 + i) * z2 + 5i = 0 Reorder the terms for easier multiplication: z4 + z2(1 + i) + 5i = 0 z4 + (1 * z2 + i * z2) + 5i = 0 Reorder the terms: z4 + (iz2 + 1z2) + 5i = 0 z4 + (iz2 + 1z2) + 5i = 0 Reorder the terms: 5i + iz2 + 1z2 + z4 = 0 Solving 5i + iz2 + 1z2 + z4 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z2' to each side of the equation. 5i + iz2 + 1z2 + -1z2 + z4 = 0 + -1z2 Combine like terms: 1z2 + -1z2 = 0 5i + iz2 + 0 + z4 = 0 + -1z2 5i + iz2 + z4 = 0 + -1z2 Remove the zero: 5i + iz2 + z4 = -1z2 Add '-1z4' to each side of the equation. 5i + iz2 + z4 + -1z4 = -1z2 + -1z4 Combine like terms: z4 + -1z4 = 0 5i + iz2 + 0 = -1z2 + -1z4 5i + iz2 = -1z2 + -1z4 Reorder the terms: 5i + iz2 + z2 + z4 = -1z2 + z2 + -1z4 + z4 Combine like terms: -1z2 + z2 = 0 5i + iz2 + z2 + z4 = 0 + -1z4 + z4 5i + iz2 + z2 + z4 = -1z4 + z4 Combine like terms: -1z4 + z4 = 0 5i + iz2 + z2 + z4 = 0 The solution to this equation could not be determined.
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