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Simplifying (3 + 2i) * x = 3i Reorder the terms for easier multiplication: x(3 + 2i) = 3i (3 * x + 2i * x) = 3i Reorder the terms: (2ix + 3x) = 3i (2ix + 3x) = 3i Solving 2ix + 3x = 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. 2ix + -3i + 3x = 3i + -3i Reorder the terms: -3i + 2ix + 3x = 3i + -3i Combine like terms: 3i + -3i = 0 -3i + 2ix + 3x = 0 Add '-3x' to each side of the equation. -3i + 2ix + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -3i + 2ix + 0 = 0 + -3x -3i + 2ix = 0 + -3x Remove the zero: -3i + 2ix = -3x Combine like terms: -3x + 3x = 0 -3i + 2ix + 3x = 0 The solution to this equation could not be determined.
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