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Simplifying (1 + i) * z2 + -1(1 + 5i) * z + 4 + 6i = 0 Reorder the terms for easier multiplication: z2(1 + i) + -1(1 + 5i) * z + 4 + 6i = 0 (1 * z2 + i * z2) + -1(1 + 5i) * z + 4 + 6i = 0 Reorder the terms: (iz2 + 1z2) + -1(1 + 5i) * z + 4 + 6i = 0 (iz2 + 1z2) + -1(1 + 5i) * z + 4 + 6i = 0 Reorder the terms for easier multiplication: iz2 + 1z2 + -1z(1 + 5i) + 4 + 6i = 0 iz2 + 1z2 + (1 * -1z + 5i * -1z) + 4 + 6i = 0 Reorder the terms: iz2 + 1z2 + (-5iz + -1z) + 4 + 6i = 0 iz2 + 1z2 + (-5iz + -1z) + 4 + 6i = 0 Reorder the terms: 4 + 6i + -5iz + iz2 + -1z + 1z2 = 0 Solving 4 + 6i + -5iz + iz2 + -1z + 1z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6i + -5iz + iz2 + -1z + -4 + 1z2 = 0 + -4 Reorder the terms: 4 + -4 + 6i + -5iz + iz2 + -1z + 1z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6i + -5iz + iz2 + -1z + 1z2 = 0 + -4 6i + -5iz + iz2 + -1z + 1z2 = 0 + -4 Combine like terms: 0 + -4 = -4 6i + -5iz + iz2 + -1z + 1z2 = -4 Add 'z' to each side of the equation. 6i + -5iz + iz2 + -1z + z + 1z2 = -4 + z Combine like terms: -1z + z = 0 6i + -5iz + iz2 + 0 + 1z2 = -4 + z 6i + -5iz + iz2 + 1z2 = -4 + z Add '-1z2' to each side of the equation. 6i + -5iz + iz2 + 1z2 + -1z2 = -4 + z + -1z2 Combine like terms: 1z2 + -1z2 = 0 6i + -5iz + iz2 + 0 = -4 + z + -1z2 6i + -5iz + iz2 = -4 + z + -1z2 Reorder the terms: 4 + 6i + -5iz + iz2 + -1z + z2 = -4 + z + -1z2 + 4 + -1z + z2 Reorder the terms: 4 + 6i + -5iz + iz2 + -1z + z2 = -4 + 4 + z + -1z + -1z2 + z2 Combine like terms: -4 + 4 = 0 4 + 6i + -5iz + iz2 + -1z + z2 = 0 + z + -1z + -1z2 + z2 4 + 6i + -5iz + iz2 + -1z + z2 = z + -1z + -1z2 + z2 Combine like terms: z + -1z = 0 4 + 6i + -5iz + iz2 + -1z + z2 = 0 + -1z2 + z2 4 + 6i + -5iz + iz2 + -1z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 4 + 6i + -5iz + iz2 + -1z + z2 = 0 The solution to this equation could not be determined.
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