(x+iy)2=(xiy)2

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Solution for (x+iy)2=(xiy)2 equation: 


Simplifying
(x + iy) * 2 = (xiy) * 2

Reorder the terms:
(iy + x) * 2 = (xiy) * 2

Reorder the terms for easier multiplication:
2(iy + x) = (xiy) * 2
(iy * 2 + x * 2) = (xiy) * 2
(2iy + 2x) = (xiy) * 2

Reorder the terms for easier multiplication:
2iy + 2x = 2ixy

Solving
2iy + 2x = 2ixy

Solving for variable 'i'.

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

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

Reorder the terms:
-2ixy + 2iy + 2x = 2ixy + -2ixy

Combine like terms: 2ixy + -2ixy = 0
-2ixy + 2iy + 2x = 0

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

Combine like terms: 2x + -2x = 0
-2ixy + 2iy + 0 = 0 + -2x
-2ixy + 2iy = 0 + -2x
Remove the zero:
-2ixy + 2iy = -2x

Combine like terms: -2x + 2x = 0
-2ixy + 2iy + 2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1ixy + iy + x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1ixy + iy + x)' equal to zero and attempt to solve:

Simplifying
-1ixy + iy + x = 0

Solving
-1ixy + iy + x = 0

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

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

Combine like terms: x + -1x = 0
-1ixy + iy + 0 = 0 + -1x
-1ixy + iy = 0 + -1x
Remove the zero:
-1ixy + iy = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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