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Simplifying (8 + 4i) * z = 3 + 5i Reorder the terms for easier multiplication: z(8 + 4i) = 3 + 5i (8 * z + 4i * z) = 3 + 5i Reorder the terms: (4iz + 8z) = 3 + 5i (4iz + 8z) = 3 + 5i Solving 4iz + 8z = 3 + 5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5i' to each side of the equation. 4iz + -5i + 8z = 3 + 5i + -5i Reorder the terms: -5i + 4iz + 8z = 3 + 5i + -5i Combine like terms: 5i + -5i = 0 -5i + 4iz + 8z = 3 + 0 -5i + 4iz + 8z = 3 Add '-8z' to each side of the equation. -5i + 4iz + 8z + -8z = 3 + -8z Combine like terms: 8z + -8z = 0 -5i + 4iz + 0 = 3 + -8z -5i + 4iz = 3 + -8z Reorder the terms: -3 + -5i + 4iz + 8z = 3 + -8z + -3 + 8z Reorder the terms: -3 + -5i + 4iz + 8z = 3 + -3 + -8z + 8z Combine like terms: 3 + -3 = 0 -3 + -5i + 4iz + 8z = 0 + -8z + 8z -3 + -5i + 4iz + 8z = -8z + 8z Combine like terms: -8z + 8z = 0 -3 + -5i + 4iz + 8z = 0 The solution to this equation could not be determined.
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