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