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Simplifying (5 + i) * z = 3z + 4i + -2 Reorder the terms for easier multiplication: z(5 + i) = 3z + 4i + -2 (5 * z + i * z) = 3z + 4i + -2 Reorder the terms: (iz + 5z) = 3z + 4i + -2 (iz + 5z) = 3z + 4i + -2 Reorder the terms: iz + 5z = -2 + 4i + 3z Solving iz + 5z = -2 + 4i + 3z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. iz + -4i + 5z = -2 + 4i + -4i + 3z Reorder the terms: -4i + iz + 5z = -2 + 4i + -4i + 3z Combine like terms: 4i + -4i = 0 -4i + iz + 5z = -2 + 0 + 3z -4i + iz + 5z = -2 + 3z Add '-5z' to each side of the equation. -4i + iz + 5z + -5z = -2 + 3z + -5z Combine like terms: 5z + -5z = 0 -4i + iz + 0 = -2 + 3z + -5z -4i + iz = -2 + 3z + -5z Combine like terms: 3z + -5z = -2z -4i + iz = -2 + -2z Reorder the terms: 2 + -4i + iz + 2z = -2 + -2z + 2 + 2z Reorder the terms: 2 + -4i + iz + 2z = -2 + 2 + -2z + 2z Combine like terms: -2 + 2 = 0 2 + -4i + iz + 2z = 0 + -2z + 2z 2 + -4i + iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 2 + -4i + iz + 2z = 0 The solution to this equation could not be determined.
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