0=2x+2y+x^2+xy

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Solution for 0=2x+2y+x^2+xy equation:


Simplifying
0 = 2x + 2y + x2 + xy

Reorder the terms:
0 = 2x + xy + x2 + 2y

Solving
0 = 2x + xy + x2 + 2y

Solving for variable 'x'.
Remove the zero:
-2x + -1xy + -1x2 + -2y = 2x + xy + x2 + 2y + -2x + -1xy + -1x2 + -2y

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2x + xy + x2 + 2y) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2x + xy + x2 + 2y)' equal to zero and attempt to solve: Simplifying 2x + xy + x2 + 2y = 0 Solving 2x + xy + x2 + 2y = 0 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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