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Simplifying (1 + i) * z2 = -1 + 7i Reorder the terms for easier multiplication: z2(1 + i) = -1 + 7i (1 * z2 + i * z2) = -1 + 7i Reorder the terms: (iz2 + 1z2) = -1 + 7i (iz2 + 1z2) = -1 + 7i Solving iz2 + 1z2 = -1 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. iz2 + -7i + 1z2 = -1 + 7i + -7i Reorder the terms: -7i + iz2 + 1z2 = -1 + 7i + -7i Combine like terms: 7i + -7i = 0 -7i + iz2 + 1z2 = -1 + 0 -7i + iz2 + 1z2 = -1 Add '-1z2' to each side of the equation. -7i + iz2 + 1z2 + -1z2 = -1 + -1z2 Combine like terms: 1z2 + -1z2 = 0 -7i + iz2 + 0 = -1 + -1z2 -7i + iz2 = -1 + -1z2 Reorder the terms: 1 + -7i + iz2 + z2 = -1 + -1z2 + 1 + z2 Reorder the terms: 1 + -7i + iz2 + z2 = -1 + 1 + -1z2 + z2 Combine like terms: -1 + 1 = 0 1 + -7i + iz2 + z2 = 0 + -1z2 + z2 1 + -7i + iz2 + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 1 + -7i + iz2 + z2 = 0 The solution to this equation could not be determined.
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