X^2=y^2-2y+1

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Solution for X^2=y^2-2y+1 equation: 



X^2=X^2-2X+1

We move all terms to the left:

X^2-(X^2-2X+1)=0

We get rid of parentheses

X^2-X^2+2X-1=0

We add all the numbers together, and all the variables

2X-1=0

We move all terms containing X to the left, all other terms to the right

2X=1

X=1/2

X=1/2

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