(y+x)(y-x)+(y-x)=

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Solution for (y+x)(y-x)+(y-x)= equation: 


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

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

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

Multiply (x + y) * (-1x + y)
(x(-1x + y) + y(-1x + y)) + (y + -1x) = 0
((-1x * x + y * x) + y(-1x + y)) + (y + -1x) = 0

Reorder the terms:
((xy + -1x2) + y(-1x + y)) + (y + -1x) = 0
((xy + -1x2) + y(-1x + y)) + (y + -1x) = 0
(xy + -1x2 + (-1x * y + y * y)) + (y + -1x) = 0
(xy + -1x2 + (-1xy + y2)) + (y + -1x) = 0

Reorder the terms:
(xy + -1xy + -1x2 + y2) + (y + -1x) = 0

Combine like terms: xy + -1xy = 0
(0 + -1x2 + y2) + (y + -1x) = 0
(-1x2 + y2) + (y + -1x) = 0

Reorder the terms:
-1x2 + y2 + (-1x + y) = 0

Remove parenthesis around (-1x + y)
-1x2 + y2 + -1x + y = 0

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

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

Solving for variable 'x'.

The solution to this equation could not be determined.

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