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Simplifying x2 + -1Y2 + 2xyi = 3 + 4i Reorder the terms: -1Y2 + 2ixy + x2 = 3 + 4i Solving -1Y2 + 2ixy + x2 = 3 + 4i Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2ixy' to each side of the equation. -1Y2 + 2ixy + -2ixy + x2 = 3 + 4i + -2ixy Combine like terms: 2ixy + -2ixy = 0 -1Y2 + 0 + x2 = 3 + 4i + -2ixy -1Y2 + x2 = 3 + 4i + -2ixy Add '-1x2' to each side of the equation. -1Y2 + x2 + -1x2 = 3 + 4i + -2ixy + -1x2 Combine like terms: x2 + -1x2 = 0 -1Y2 + 0 = 3 + 4i + -2ixy + -1x2 -1Y2 = 3 + 4i + -2ixy + -1x2 Divide each side by '-1'. Y2 = -3 + -4i + 2ixy + x2 Simplifying Y2 = -3 + -4i + 2ixy + x2 Reorder the terms: 3 + Y2 + 4i + -2ixy + -1x2 = -3 + -4i + 2ixy + x2 + 3 + 4i + -2ixy + -1x2 Reorder the terms: 3 + Y2 + 4i + -2ixy + -1x2 = -3 + 3 + -4i + 4i + 2ixy + -2ixy + x2 + -1x2 Combine like terms: -3 + 3 = 0 3 + Y2 + 4i + -2ixy + -1x2 = 0 + -4i + 4i + 2ixy + -2ixy + x2 + -1x2 3 + Y2 + 4i + -2ixy + -1x2 = -4i + 4i + 2ixy + -2ixy + x2 + -1x2 Combine like terms: -4i + 4i = 0 3 + Y2 + 4i + -2ixy + -1x2 = 0 + 2ixy + -2ixy + x2 + -1x2 3 + Y2 + 4i + -2ixy + -1x2 = 2ixy + -2ixy + x2 + -1x2 Combine like terms: 2ixy + -2ixy = 0 3 + Y2 + 4i + -2ixy + -1x2 = 0 + x2 + -1x2 3 + Y2 + 4i + -2ixy + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + Y2 + 4i + -2ixy + -1x2 = 0 The solution to this equation could not be determined.
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