x+y^2-2y=0

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


Simplifying
x + y2 + -2y = 0

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

Solving
x + -2y + y2 = 0

Solving for variable 'x'.

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

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

Combine like terms: -2y + 2y = 0
x + 0 + y2 = 0 + 2y
x + y2 = 0 + 2y
Remove the zero:
x + y2 = 2y

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

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

Simplifying
x = 2y + -1y2

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