(m^2)+m=(n^4)+2(n^3)+3(n^2)+2(n)

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Solution for (m^2)+m=(n^4)+2(n^3)+3(n^2)+2(n) equation: 


Simplifying
(m2) + m = (n4) + 2(n3) + 3(n2) + 2(n)
m2 + m = (n4) + 2(n3) + 3(n2) + 2(n)

Reorder the terms:
m + m2 = (n4) + 2(n3) + 3(n2) + 2(n)
m + m2 = n4 + 2(n3) + 3(n2) + 2(n)

Reorder the terms:
m + m2 = 2n + 3n2 + 2n3 + n4

Solving
m + m2 = 2n + 3n2 + 2n3 + n4

Solving for variable 'm'.

Reorder the terms:
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 2n + -2n + 3n2 + -3n2 + 2n3 + -2n3 + n4 + -1n4

Combine like terms: 2n + -2n = 0
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 0 + 3n2 + -3n2 + 2n3 + -2n3 + n4 + -1n4
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 3n2 + -3n2 + 2n3 + -2n3 + n4 + -1n4

Combine like terms: 3n2 + -3n2 = 0
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 0 + 2n3 + -2n3 + n4 + -1n4
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 2n3 + -2n3 + n4 + -1n4

Combine like terms: 2n3 + -2n3 = 0
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 0 + n4 + -1n4
m + m2 + -2n + -3n2 + -2n3 + -1n4 = n4 + -1n4

Combine like terms: n4 + -1n4 = 0
m + m2 + -2n + -3n2 + -2n3 + -1n4 = 0

The solution to this equation could not be determined.

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