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Simplifying x2 + -1y2 + 2xyi = -3 + 4i Reorder the terms: 2ixy + x2 + -1y2 = -3 + 4i Solving 2ixy + x2 + -1y2 = -3 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 2ixy + x2 + -4i + -1y2 = -3 + 4i + -4i Reorder the terms: -4i + 2ixy + x2 + -1y2 = -3 + 4i + -4i Combine like terms: 4i + -4i = 0 -4i + 2ixy + x2 + -1y2 = -3 + 0 -4i + 2ixy + x2 + -1y2 = -3 Add '-1x2' to each side of the equation. -4i + 2ixy + x2 + -1x2 + -1y2 = -3 + -1x2 Combine like terms: x2 + -1x2 = 0 -4i + 2ixy + 0 + -1y2 = -3 + -1x2 -4i + 2ixy + -1y2 = -3 + -1x2 Add 'y2' to each side of the equation. -4i + 2ixy + -1y2 + y2 = -3 + -1x2 + y2 Combine like terms: -1y2 + y2 = 0 -4i + 2ixy + 0 = -3 + -1x2 + y2 -4i + 2ixy = -3 + -1x2 + y2 Reorder the terms: 3 + -4i + 2ixy + x2 + -1y2 = -3 + -1x2 + y2 + 3 + x2 + -1y2 Reorder the terms: 3 + -4i + 2ixy + x2 + -1y2 = -3 + 3 + -1x2 + x2 + y2 + -1y2 Combine like terms: -3 + 3 = 0 3 + -4i + 2ixy + x2 + -1y2 = 0 + -1x2 + x2 + y2 + -1y2 3 + -4i + 2ixy + x2 + -1y2 = -1x2 + x2 + y2 + -1y2 Combine like terms: -1x2 + x2 = 0 3 + -4i + 2ixy + x2 + -1y2 = 0 + y2 + -1y2 3 + -4i + 2ixy + x2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 3 + -4i + 2ixy + x2 + -1y2 = 0 The solution to this equation could not be determined.
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