x^2-y^2-4x+i(2xy-4y)=0

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Solution for x^2-y^2-4x+i(2xy-4y)=0 equation:


Simplifying
x2 + -1y2 + -4x + i(2xy + -4y) = 0
x2 + -1y2 + -4x + (2xy * i + -4y * i) = 0
x2 + -1y2 + -4x + (2ixy + -4iy) = 0

Reorder the terms:
2ixy + -4iy + -4x + x2 + -1y2 = 0

Solving
2ixy + -4iy + -4x + x2 + -1y2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '4x' to each side of the equation.
2ixy + -4iy + -4x + x2 + 4x + -1y2 = 0 + 4x

Reorder the terms:
2ixy + -4iy + -4x + 4x + x2 + -1y2 = 0 + 4x

Combine like terms: -4x + 4x = 0
2ixy + -4iy + 0 + x2 + -1y2 = 0 + 4x
2ixy + -4iy + x2 + -1y2 = 0 + 4x
Remove the zero:
2ixy + -4iy + x2 + -1y2 = 4x

Add '-1x2' to each side of the equation.
2ixy + -4iy + x2 + -1x2 + -1y2 = 4x + -1x2

Combine like terms: x2 + -1x2 = 0
2ixy + -4iy + 0 + -1y2 = 4x + -1x2
2ixy + -4iy + -1y2 = 4x + -1x2

Add 'y2' to each side of the equation.
2ixy + -4iy + -1y2 + y2 = 4x + -1x2 + y2

Combine like terms: -1y2 + y2 = 0
2ixy + -4iy + 0 = 4x + -1x2 + y2
2ixy + -4iy = 4x + -1x2 + y2

Reorder the terms:
2ixy + -4iy + -4x + x2 + -1y2 = 4x + -4x + -1x2 + x2 + y2 + -1y2

Combine like terms: 4x + -4x = 0
2ixy + -4iy + -4x + x2 + -1y2 = 0 + -1x2 + x2 + y2 + -1y2
2ixy + -4iy + -4x + x2 + -1y2 = -1x2 + x2 + y2 + -1y2

Combine like terms: -1x2 + x2 = 0
2ixy + -4iy + -4x + x2 + -1y2 = 0 + y2 + -1y2
2ixy + -4iy + -4x + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
2ixy + -4iy + -4x + x2 + -1y2 = 0

The solution to this equation could not be determined.

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