X^2+2y^2+xi+yi=xy+7+3i

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Solution for X^2+2y^2+xi+yi=xy+7+3i equation: 


Simplifying
X2 + 2y2 + xi + yi = xy + 7 + 3i

Reorder the terms:
X2 + ix + iy + 2y2 = xy + 7 + 3i

Reorder the terms:
X2 + ix + iy + 2y2 = 7 + 3i + xy

Solving
X2 + ix + iy + 2y2 = 7 + 3i + xy

Solving for variable 'X'.

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

Add '-1ix' to each side of the equation.
X2 + ix + iy + -1ix + 2y2 = 7 + 3i + -1ix + xy

Reorder the terms:
X2 + ix + -1ix + iy + 2y2 = 7 + 3i + -1ix + xy

Combine like terms: ix + -1ix = 0
X2 + 0 + iy + 2y2 = 7 + 3i + -1ix + xy
X2 + iy + 2y2 = 7 + 3i + -1ix + xy

Add '-1iy' to each side of the equation.
X2 + iy + -1iy + 2y2 = 7 + 3i + -1ix + -1iy + xy

Combine like terms: iy + -1iy = 0
X2 + 0 + 2y2 = 7 + 3i + -1ix + -1iy + xy
X2 + 2y2 = 7 + 3i + -1ix + -1iy + xy

Add '-2y2' to each side of the equation.
X2 + 2y2 + -2y2 = 7 + 3i + -1ix + -1iy + xy + -2y2

Combine like terms: 2y2 + -2y2 = 0
X2 + 0 = 7 + 3i + -1ix + -1iy + xy + -2y2
X2 = 7 + 3i + -1ix + -1iy + xy + -2y2

Simplifying
X2 = 7 + 3i + -1ix + -1iy + xy + -2y2

Reorder the terms:
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 7 + 3i + -1ix + -1iy + xy + -2y2 + -7 + -3i + ix + iy + -1xy + 2y2

Reorder the terms:
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 7 + -7 + 3i + -3i + -1ix + ix + -1iy + iy + xy + -1xy + -2y2 + 2y2

Combine like terms: 7 + -7 = 0
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 0 + 3i + -3i + -1ix + ix + -1iy + iy + xy + -1xy + -2y2 + 2y2
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 3i + -3i + -1ix + ix + -1iy + iy + xy + -1xy + -2y2 + 2y2

Combine like terms: 3i + -3i = 0
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 0 + -1ix + ix + -1iy + iy + xy + -1xy + -2y2 + 2y2
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = -1ix + ix + -1iy + iy + xy + -1xy + -2y2 + 2y2

Combine like terms: -1ix + ix = 0
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 0 + -1iy + iy + xy + -1xy + -2y2 + 2y2
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = -1iy + iy + xy + -1xy + -2y2 + 2y2

Combine like terms: -1iy + iy = 0
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 0 + xy + -1xy + -2y2 + 2y2
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = xy + -1xy + -2y2 + 2y2

Combine like terms: xy + -1xy = 0
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 0 + -2y2 + 2y2
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-7 + X2 + -3i + ix + iy + -1xy + 2y2 = 0

The solution to this equation could not be determined.

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