(6k^2+2k+1)=2n^3+4n^2+3n

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Solution for (6k^2+2k+1)=2n^3+4n^2+3n equation: 


Simplifying
(6k2 + 2k + 1) = 2n3 + 4n2 + 3n

Reorder the terms:
(1 + 2k + 6k2) = 2n3 + 4n2 + 3n

Remove parenthesis around (1 + 2k + 6k2)
1 + 2k + 6k2 = 2n3 + 4n2 + 3n

Reorder the terms:
1 + 2k + 6k2 = 3n + 4n2 + 2n3

Solving
1 + 2k + 6k2 = 3n + 4n2 + 2n3

Solving for variable 'k'.

Reorder the terms:
1 + 2k + 6k2 + -3n + -4n2 + -2n3 = 3n + -3n + 4n2 + -4n2 + 2n3 + -2n3

Combine like terms: 3n + -3n = 0
1 + 2k + 6k2 + -3n + -4n2 + -2n3 = 0 + 4n2 + -4n2 + 2n3 + -2n3
1 + 2k + 6k2 + -3n + -4n2 + -2n3 = 4n2 + -4n2 + 2n3 + -2n3

Combine like terms: 4n2 + -4n2 = 0
1 + 2k + 6k2 + -3n + -4n2 + -2n3 = 0 + 2n3 + -2n3
1 + 2k + 6k2 + -3n + -4n2 + -2n3 = 2n3 + -2n3

Combine like terms: 2n3 + -2n3 = 0
1 + 2k + 6k2 + -3n + -4n2 + -2n3 = 0

The solution to this equation could not be determined.

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