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Simplifying (5 + 3i) * z = 63 + 16i Reorder the terms for easier multiplication: z(5 + 3i) = 63 + 16i (5 * z + 3i * z) = 63 + 16i Reorder the terms: (3iz + 5z) = 63 + 16i (3iz + 5z) = 63 + 16i Solving 3iz + 5z = 63 + 16i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16i' to each side of the equation. 3iz + -16i + 5z = 63 + 16i + -16i Reorder the terms: -16i + 3iz + 5z = 63 + 16i + -16i Combine like terms: 16i + -16i = 0 -16i + 3iz + 5z = 63 + 0 -16i + 3iz + 5z = 63 Add '-5z' to each side of the equation. -16i + 3iz + 5z + -5z = 63 + -5z Combine like terms: 5z + -5z = 0 -16i + 3iz + 0 = 63 + -5z -16i + 3iz = 63 + -5z Reorder the terms: -63 + -16i + 3iz + 5z = 63 + -5z + -63 + 5z Reorder the terms: -63 + -16i + 3iz + 5z = 63 + -63 + -5z + 5z Combine like terms: 63 + -63 = 0 -63 + -16i + 3iz + 5z = 0 + -5z + 5z -63 + -16i + 3iz + 5z = -5z + 5z Combine like terms: -5z + 5z = 0 -63 + -16i + 3iz + 5z = 0 The solution to this equation could not be determined.
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