n^2+2n+3mn+6m=

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Solution for n^2+2n+3mn+6m= equation: 


Simplifying
n2 + 2n + 3mn + 6m = 0

Reorder the terms:
6m + 3mn + 2n + n2 = 0

Solving
6m + 3mn + 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.
6m + 3mn + 2n + -2n + n2 = 0 + -2n

Combine like terms: 2n + -2n = 0
6m + 3mn + 0 + n2 = 0 + -2n
6m + 3mn + n2 = 0 + -2n
Remove the zero:
6m + 3mn + n2 = -2n

Add '-1n2' to each side of the equation.
6m + 3mn + n2 + -1n2 = -2n + -1n2

Combine like terms: n2 + -1n2 = 0
6m + 3mn + 0 = -2n + -1n2
6m + 3mn = -2n + -1n2

Reorder the terms:
6m + 3mn + 2n + n2 = -2n + 2n + -1n2 + n2

Combine like terms: -2n + 2n = 0
6m + 3mn + 2n + n2 = 0 + -1n2 + n2
6m + 3mn + 2n + n2 = -1n2 + n2

Combine like terms: -1n2 + n2 = 0
6m + 3mn + 2n + n2 = 0

The solution to this equation could not be determined.

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