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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

The solution to this equation could not be determined.

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