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