2x^2+Y^2+2xy+2x+1=0

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Solution for 2x^2+Y^2+2xy+2x+1=0 equation:


Simplifying
2x2 + Y2 + 2xy + 2x + 1 = 0

Reorder the terms:
1 + Y2 + 2x + 2xy + 2x2 = 0

Solving
1 + Y2 + 2x + 2xy + 2x2 = 0

Solving for variable 'Y'.

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

Add '-1' to each side of the equation.
1 + Y2 + 2x + 2xy + -1 + 2x2 = 0 + -1

Reorder the terms:
1 + -1 + Y2 + 2x + 2xy + 2x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + Y2 + 2x + 2xy + 2x2 = 0 + -1
Y2 + 2x + 2xy + 2x2 = 0 + -1

Combine like terms: 0 + -1 = -1
Y2 + 2x + 2xy + 2x2 = -1

Add '-2x' to each side of the equation.
Y2 + 2x + 2xy + -2x + 2x2 = -1 + -2x

Reorder the terms:
Y2 + 2x + -2x + 2xy + 2x2 = -1 + -2x

Combine like terms: 2x + -2x = 0
Y2 + 0 + 2xy + 2x2 = -1 + -2x
Y2 + 2xy + 2x2 = -1 + -2x

Add '-2xy' to each side of the equation.
Y2 + 2xy + -2xy + 2x2 = -1 + -2x + -2xy

Combine like terms: 2xy + -2xy = 0
Y2 + 0 + 2x2 = -1 + -2x + -2xy
Y2 + 2x2 = -1 + -2x + -2xy

Add '-2x2' to each side of the equation.
Y2 + 2x2 + -2x2 = -1 + -2x + -2xy + -2x2

Combine like terms: 2x2 + -2x2 = 0
Y2 + 0 = -1 + -2x + -2xy + -2x2
Y2 = -1 + -2x + -2xy + -2x2

Simplifying
Y2 = -1 + -2x + -2xy + -2x2

Reorder the terms:
1 + Y2 + 2x + 2xy + 2x2 = -1 + -2x + -2xy + -2x2 + 1 + 2x + 2xy + 2x2

Reorder the terms:
1 + Y2 + 2x + 2xy + 2x2 = -1 + 1 + -2x + 2x + -2xy + 2xy + -2x2 + 2x2

Combine like terms: -1 + 1 = 0
1 + Y2 + 2x + 2xy + 2x2 = 0 + -2x + 2x + -2xy + 2xy + -2x2 + 2x2
1 + Y2 + 2x + 2xy + 2x2 = -2x + 2x + -2xy + 2xy + -2x2 + 2x2

Combine like terms: -2x + 2x = 0
1 + Y2 + 2x + 2xy + 2x2 = 0 + -2xy + 2xy + -2x2 + 2x2
1 + Y2 + 2x + 2xy + 2x2 = -2xy + 2xy + -2x2 + 2x2

Combine like terms: -2xy + 2xy = 0
1 + Y2 + 2x + 2xy + 2x2 = 0 + -2x2 + 2x2
1 + Y2 + 2x + 2xy + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
1 + Y2 + 2x + 2xy + 2x2 = 0

The solution to this equation could not be determined.

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