[(x+y)+1][(x+y)-1]=0

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Solution for [(x+y)+1][(x+y)-1]=0 equation:


Simplifying
[(x + y) + 1][(x + y) + -1] = 0

Remove parenthesis around (x + y)
[x + y + 1][(x + y) + -1] = 0

Reorder the terms:
[1 + x + y][(x + y) + -1] = 0

Remove parenthesis around (x + y)
[1 + x + y][x + y + -1] = 0

Reorder the terms:
[1 + x + y][-1 + x + y] = 0

Multiply [1 + x + y] * [-1 + x + y]
[1[-1 + x + y] + x[-1 + x + y] + y[-1 + x + y]] = 0
[[-1 * 1 + x * 1 + y * 1] + x[-1 + x + y] + y[-1 + x + y]] = 0
[[-1 + 1x + 1y] + x[-1 + x + y] + y[-1 + x + y]] = 0
[-1 + 1x + 1y + [-1 * x + x * x + y * x] + y[-1 + x + y]] = 0

Reorder the terms:
[-1 + 1x + 1y + [-1x + xy + x2] + y[-1 + x + y]] = 0
[-1 + 1x + 1y + [-1x + xy + x2] + y[-1 + x + y]] = 0
[-1 + 1x + 1y + -1x + xy + x2 + [-1 * y + x * y + y * y]] = 0

Reorder the terms:
[-1 + 1x + 1y + -1x + xy + x2 + [xy + -1y + y2]] = 0
[-1 + 1x + 1y + -1x + xy + x2 + [xy + -1y + y2]] = 0

Reorder the terms:
[-1 + 1x + -1x + xy + xy + x2 + 1y + -1y + y2] = 0

Combine like terms: 1x + -1x = 0
[-1 + 0 + xy + xy + x2 + 1y + -1y + y2] = 0
[-1 + xy + xy + x2 + 1y + -1y + y2] = 0

Combine like terms: xy + xy = 2xy
[-1 + 2xy + x2 + 1y + -1y + y2] = 0

Combine like terms: 1y + -1y = 0
[-1 + 2xy + x2 + 0 + y2] = 0
[-1 + 2xy + x2 + y2] = 0

Solving
-1 + 2xy + x2 + y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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