2x=(y-x)(y+x)

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Solution for 2x=(y-x)(y+x) equation: 


Simplifying
2x = (y + -1x)(y + x)

Reorder the terms:
2x = (-1x + y)(y + x)

Reorder the terms:
2x = (-1x + y)(x + y)

Multiply (-1x + y) * (x + y)
2x = (-1x * (x + y) + y(x + y))
2x = ((x * -1x + y * -1x) + y(x + y))

Reorder the terms:
2x = ((-1xy + -1x2) + y(x + y))
2x = ((-1xy + -1x2) + y(x + y))
2x = (-1xy + -1x2 + (x * y + y * y))
2x = (-1xy + -1x2 + (xy + y2))

Reorder the terms:
2x = (-1xy + xy + -1x2 + y2)

Combine like terms: -1xy + xy = 0
2x = (0 + -1x2 + y2)
2x = (-1x2 + y2)

Solving
2x = -1x2 + y2

Solving for variable 'x'.

Reorder the terms:
2x + x2 + -1y2 = -1x2 + x2 + y2 + -1y2

Combine like terms: -1x2 + x2 = 0
2x + x2 + -1y2 = 0 + y2 + -1y2
2x + x2 + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
2x + x2 + -1y2 = 0

The solution to this equation could not be determined.

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