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

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


Simplifying
2x + 4xy + 2y2 = -2

Solving
2x + 4xy + 2y2 = -2

Solving for variable 'x'.

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + x + 2xy + y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + x + 2xy + y2)' equal to zero and attempt to solve:

Simplifying
1 + x + 2xy + y2 = 0

Solving
1 + x + 2xy + y2 = 0

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

Add '-1' to each side of the equation.
1 + x + 2xy + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + x + 2xy + y2 = 0 + -1

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

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

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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