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Simplifying (3 + 2i) * z = -3 + 11i Reorder the terms for easier multiplication: z(3 + 2i) = -3 + 11i (3 * z + 2i * z) = -3 + 11i Reorder the terms: (2iz + 3z) = -3 + 11i (2iz + 3z) = -3 + 11i Solving 2iz + 3z = -3 + 11i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11i' to each side of the equation. 2iz + -11i + 3z = -3 + 11i + -11i Reorder the terms: -11i + 2iz + 3z = -3 + 11i + -11i Combine like terms: 11i + -11i = 0 -11i + 2iz + 3z = -3 + 0 -11i + 2iz + 3z = -3 Add '-3z' to each side of the equation. -11i + 2iz + 3z + -3z = -3 + -3z Combine like terms: 3z + -3z = 0 -11i + 2iz + 0 = -3 + -3z -11i + 2iz = -3 + -3z Reorder the terms: 3 + -11i + 2iz + 3z = -3 + -3z + 3 + 3z Reorder the terms: 3 + -11i + 2iz + 3z = -3 + 3 + -3z + 3z Combine like terms: -3 + 3 = 0 3 + -11i + 2iz + 3z = 0 + -3z + 3z 3 + -11i + 2iz + 3z = -3z + 3z Combine like terms: -3z + 3z = 0 3 + -11i + 2iz + 3z = 0 The solution to this equation could not be determined.
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