y^2-4xy+y=2

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Solution for y^2-4xy+y=2 equation:


Simplifying
y2 + -4xy + y = 2

Reorder the terms:
-4xy + y + y2 = 2

Solving
-4xy + y + y2 = 2

Solving for variable 'x'.

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

Add '-1y' to each side of the equation.
-4xy + y + -1y + y2 = 2 + -1y

Combine like terms: y + -1y = 0
-4xy + 0 + y2 = 2 + -1y
-4xy + y2 = 2 + -1y

Add '-1y2' to each side of the equation.
-4xy + y2 + -1y2 = 2 + -1y + -1y2

Combine like terms: y2 + -1y2 = 0
-4xy + 0 = 2 + -1y + -1y2
-4xy = 2 + -1y + -1y2

Divide each side by '-4y'.
x = -0.5y-1 + 0.25 + 0.25y

Simplifying
x = -0.5y-1 + 0.25 + 0.25y

Reorder the terms:
x = 0.25 + -0.5y-1 + 0.25y

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