4x^2+4y^2=x^2-2x+1+y^2

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Solution for 4x^2+4y^2=x^2-2x+1+y^2 equation:


Simplifying
4x2 + 4y2 = x2 + -2x + 1 + y2

Reorder the terms:
4x2 + 4y2 = 1 + -2x + x2 + y2

Solving
4x2 + 4y2 = 1 + -2x + x2 + y2

Solving for variable 'x'.

Reorder the terms:
-1 + 2x + 4x2 + -1x2 + 4y2 + -1y2 = 1 + -2x + x2 + y2 + -1 + 2x + -1x2 + -1y2

Combine like terms: 4x2 + -1x2 = 3x2
-1 + 2x + 3x2 + 4y2 + -1y2 = 1 + -2x + x2 + y2 + -1 + 2x + -1x2 + -1y2

Combine like terms: 4y2 + -1y2 = 3y2
-1 + 2x + 3x2 + 3y2 = 1 + -2x + x2 + y2 + -1 + 2x + -1x2 + -1y2

Reorder the terms:
-1 + 2x + 3x2 + 3y2 = 1 + -1 + -2x + 2x + x2 + -1x2 + y2 + -1y2

Combine like terms: 1 + -1 = 0
-1 + 2x + 3x2 + 3y2 = 0 + -2x + 2x + x2 + -1x2 + y2 + -1y2
-1 + 2x + 3x2 + 3y2 = -2x + 2x + x2 + -1x2 + y2 + -1y2

Combine like terms: -2x + 2x = 0
-1 + 2x + 3x2 + 3y2 = 0 + x2 + -1x2 + y2 + -1y2
-1 + 2x + 3x2 + 3y2 = x2 + -1x2 + y2 + -1y2

Combine like terms: x2 + -1x2 = 0
-1 + 2x + 3x2 + 3y2 = 0 + y2 + -1y2
-1 + 2x + 3x2 + 3y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-1 + 2x + 3x2 + 3y2 = 0

The solution to this equation could not be determined.

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