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Simplifying (4 + i) * z = -3 + 2i Reorder the terms for easier multiplication: z(4 + i) = -3 + 2i (4 * z + i * z) = -3 + 2i Reorder the terms: (iz + 4z) = -3 + 2i (iz + 4z) = -3 + 2i Solving iz + 4z = -3 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. iz + -2i + 4z = -3 + 2i + -2i Reorder the terms: -2i + iz + 4z = -3 + 2i + -2i Combine like terms: 2i + -2i = 0 -2i + iz + 4z = -3 + 0 -2i + iz + 4z = -3 Add '-4z' to each side of the equation. -2i + iz + 4z + -4z = -3 + -4z Combine like terms: 4z + -4z = 0 -2i + iz + 0 = -3 + -4z -2i + iz = -3 + -4z Reorder the terms: 3 + -2i + iz + 4z = -3 + -4z + 3 + 4z Reorder the terms: 3 + -2i + iz + 4z = -3 + 3 + -4z + 4z Combine like terms: -3 + 3 = 0 3 + -2i + iz + 4z = 0 + -4z + 4z 3 + -2i + iz + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 3 + -2i + iz + 4z = 0 The solution to this equation could not be determined.
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