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

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


Simplifying
2X2 + 2y2 + 2x + -2y = 1

Reorder the terms:
2X2 + 2x + -2y + 2y2 = 1

Solving
2X2 + 2x + -2y + 2y2 = 1

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
2X2 + 2x + -2y + -2x + 2y2 = 1 + -2x

Reorder the terms:
2X2 + 2x + -2x + -2y + 2y2 = 1 + -2x

Combine like terms: 2x + -2x = 0
2X2 + 0 + -2y + 2y2 = 1 + -2x
2X2 + -2y + 2y2 = 1 + -2x

Add '2y' to each side of the equation.
2X2 + -2y + 2y + 2y2 = 1 + -2x + 2y

Combine like terms: -2y + 2y = 0
2X2 + 0 + 2y2 = 1 + -2x + 2y
2X2 + 2y2 = 1 + -2x + 2y

Add '-2y2' to each side of the equation.
2X2 + 2y2 + -2y2 = 1 + -2x + 2y + -2y2

Combine like terms: 2y2 + -2y2 = 0
2X2 + 0 = 1 + -2x + 2y + -2y2
2X2 = 1 + -2x + 2y + -2y2

Divide each side by '2'.
X2 = 0.5 + -1x + y + -1y2

Simplifying
X2 = 0.5 + -1x + y + -1y2

Reorder the terms:
-0.5 + X2 + x + -1y + y2 = 0.5 + -1x + y + -1y2 + -0.5 + x + -1y + y2

Reorder the terms:
-0.5 + X2 + x + -1y + y2 = 0.5 + -0.5 + -1x + x + y + -1y + -1y2 + y2

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + X2 + x + -1y + y2 = 0.0 + -1x + x + y + -1y + -1y2 + y2
-0.5 + X2 + x + -1y + y2 = -1x + x + y + -1y + -1y2 + y2

Combine like terms: -1x + x = 0
-0.5 + X2 + x + -1y + y2 = 0 + y + -1y + -1y2 + y2
-0.5 + X2 + x + -1y + y2 = y + -1y + -1y2 + y2

Combine like terms: y + -1y = 0
-0.5 + X2 + x + -1y + y2 = 0 + -1y2 + y2
-0.5 + X2 + x + -1y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-0.5 + X2 + x + -1y + y2 = 0

The solution to this equation could not be determined.

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