y^2-2y+1-x=0

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Solution for y^2-2y+1-x=0 equation:


Simplifying
y2 + -2y + 1 + -1x = 0

Reorder the terms:
1 + -1x + -2y + y2 = 0

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

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1x + -2y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -1x + -2y + y2 = 0 + -1

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

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

Add '2y' to each side of the equation.
-1x + -2y + 2y + y2 = -1 + 2y

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

Add '-1y2' to each side of the equation.
-1x + y2 + -1y2 = -1 + 2y + -1y2

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

Divide each side by '-1'.
x = 1 + -2y + y2

Simplifying
x = 1 + -2y + y2

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