(m+2n+1)(m-n+2)=5

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Solution for (m+2n+1)(m-n+2)=5 equation: 


Simplifying
(m + 2n + 1)(m + -1n + 2) = 5

Reorder the terms:
(1 + m + 2n)(m + -1n + 2) = 5

Reorder the terms:
(1 + m + 2n)(2 + m + -1n) = 5

Multiply (1 + m + 2n) * (2 + m + -1n)
(1(2 + m + -1n) + m(2 + m + -1n) + 2n * (2 + m + -1n)) = 5
((2 * 1 + m * 1 + -1n * 1) + m(2 + m + -1n) + 2n * (2 + m + -1n)) = 5
((2 + 1m + -1n) + m(2 + m + -1n) + 2n * (2 + m + -1n)) = 5
(2 + 1m + -1n + (2 * m + m * m + -1n * m) + 2n * (2 + m + -1n)) = 5

Reorder the terms:
(2 + 1m + -1n + (2m + -1mn + m2) + 2n * (2 + m + -1n)) = 5
(2 + 1m + -1n + (2m + -1mn + m2) + 2n * (2 + m + -1n)) = 5
(2 + 1m + -1n + 2m + -1mn + m2 + (2 * 2n + m * 2n + -1n * 2n)) = 5

Reorder the terms:
(2 + 1m + -1n + 2m + -1mn + m2 + (2mn + 4n + -2n2)) = 5
(2 + 1m + -1n + 2m + -1mn + m2 + (2mn + 4n + -2n2)) = 5

Reorder the terms:
(2 + 1m + 2m + -1mn + 2mn + m2 + -1n + 4n + -2n2) = 5

Combine like terms: 1m + 2m = 3m
(2 + 3m + -1mn + 2mn + m2 + -1n + 4n + -2n2) = 5

Combine like terms: -1mn + 2mn = 1mn
(2 + 3m + 1mn + m2 + -1n + 4n + -2n2) = 5

Combine like terms: -1n + 4n = 3n
(2 + 3m + 1mn + m2 + 3n + -2n2) = 5

Solving
2 + 3m + 1mn + m2 + 3n + -2n2 = 5

Solving for variable 'm'.

Reorder the terms:
2 + -5 + 3m + 1mn + m2 + 3n + -2n2 = 5 + -5

Combine like terms: 2 + -5 = -3
-3 + 3m + 1mn + m2 + 3n + -2n2 = 5 + -5

Combine like terms: 5 + -5 = 0
-3 + 3m + 1mn + m2 + 3n + -2n2 = 0

The solution to this equation could not be determined.

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