mn+2n+n^2+2m=0

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Solution for mn+2n+n^2+2m=0 equation:


Simplifying
mn + 2n + n2 + 2m = 0

Reorder the terms:
2m + mn + 2n + n2 = 0

Solving
2m + mn + 2n + n2 = 0

Solving for variable 'm'.

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

Add '-2n' to each side of the equation.
2m + mn + 2n + -2n + n2 = 0 + -2n

Combine like terms: 2n + -2n = 0
2m + mn + 0 + n2 = 0 + -2n
2m + mn + n2 = 0 + -2n
Remove the zero:
2m + mn + n2 = -2n

Add '-1n2' to each side of the equation.
2m + mn + n2 + -1n2 = -2n + -1n2

Combine like terms: n2 + -1n2 = 0
2m + mn + 0 = -2n + -1n2
2m + mn = -2n + -1n2

Reorder the terms:
2m + mn + 2n + n2 = -2n + 2n + -1n2 + n2

Combine like terms: -2n + 2n = 0
2m + mn + 2n + n2 = 0 + -1n2 + n2
2m + mn + 2n + n2 = -1n2 + n2

Combine like terms: -1n2 + n2 = 0
2m + mn + 2n + n2 = 0

The solution to this equation could not be determined.

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