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Simplifying 3zi + (5 + -2i) * z = 3z + 2 + -1i Reorder the terms for easier multiplication: 3iz + z(5 + -2i) = 3z + 2 + -1i 3iz + (5 * z + -2i * z) = 3z + 2 + -1i Reorder the terms: 3iz + (-2iz + 5z) = 3z + 2 + -1i 3iz + (-2iz + 5z) = 3z + 2 + -1i Combine like terms: 3iz + -2iz = 1iz 1iz + 5z = 3z + 2 + -1i Reorder the terms: 1iz + 5z = 2 + -1i + 3z Solving 1iz + 5z = 2 + -1i + 3z Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 1iz + i + 5z = 2 + -1i + i + 3z Reorder the terms: i + 1iz + 5z = 2 + -1i + i + 3z Combine like terms: -1i + i = 0 i + 1iz + 5z = 2 + 0 + 3z i + 1iz + 5z = 2 + 3z Add '-5z' to each side of the equation. i + 1iz + 5z + -5z = 2 + 3z + -5z Combine like terms: 5z + -5z = 0 i + 1iz + 0 = 2 + 3z + -5z i + 1iz = 2 + 3z + -5z Combine like terms: 3z + -5z = -2z i + 1iz = 2 + -2z Reorder the terms: -2 + i + 1iz + 2z = 2 + -2z + -2 + 2z Reorder the terms: -2 + i + 1iz + 2z = 2 + -2 + -2z + 2z Combine like terms: 2 + -2 = 0 -2 + i + 1iz + 2z = 0 + -2z + 2z -2 + i + 1iz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 -2 + i + 1iz + 2z = 0 The solution to this equation could not be determined.
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