x^2+Y^2+2xyi=-3+4i

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Solution for x^2+Y^2+2xyi=-3+4i equation:


Simplifying
x2 + Y2 + 2xyi = -3 + 4i

Reorder the terms:
Y2 + 2ixy + x2 = -3 + 4i

Solving
Y2 + 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.
Y2 + 2ixy + -2ixy + x2 = -3 + 4i + -2ixy

Combine like terms: 2ixy + -2ixy = 0
Y2 + 0 + x2 = -3 + 4i + -2ixy
Y2 + x2 = -3 + 4i + -2ixy

Add '-1x2' to each side of the equation.
Y2 + x2 + -1x2 = -3 + 4i + -2ixy + -1x2

Combine like terms: x2 + -1x2 = 0
Y2 + 0 = -3 + 4i + -2ixy + -1x2
Y2 = -3 + 4i + -2ixy + -1x2

Simplifying
Y2 = -3 + 4i + -2ixy + -1x2

Reorder the terms:
3 + Y2 + -4i + 2ixy + x2 = -3 + 4i + -2ixy + -1x2 + 3 + -4i + 2ixy + x2

Reorder the terms:
3 + Y2 + -4i + 2ixy + x2 = -3 + 3 + 4i + -4i + -2ixy + 2ixy + -1x2 + x2

Combine like terms: -3 + 3 = 0
3 + Y2 + -4i + 2ixy + x2 = 0 + 4i + -4i + -2ixy + 2ixy + -1x2 + x2
3 + Y2 + -4i + 2ixy + x2 = 4i + -4i + -2ixy + 2ixy + -1x2 + x2

Combine like terms: 4i + -4i = 0
3 + Y2 + -4i + 2ixy + x2 = 0 + -2ixy + 2ixy + -1x2 + x2
3 + Y2 + -4i + 2ixy + x2 = -2ixy + 2ixy + -1x2 + x2

Combine like terms: -2ixy + 2ixy = 0
3 + Y2 + -4i + 2ixy + x2 = 0 + -1x2 + x2
3 + Y2 + -4i + 2ixy + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + Y2 + -4i + 2ixy + x2 = 0

The solution to this equation could not be determined.

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