mn=(2k)(2k+1)

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Solution for mn=(2k)(2k+1) equation: 


Simplifying
mn = (2k)(2k + 1)

Remove parenthesis around (2k)
mn = 2k(2k + 1)

Reorder the terms:
mn = 2k(1 + 2k)
mn = (1 * 2k + 2k * 2k)
mn = (2k + 4k2)

Solving
mn = 2k + 4k2

Solving for variable 'm'.

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

Divide each side by 'n'.
m = 2kn-1 + 4k2n-1

Simplifying
m = 2kn-1 + 4k2n-1

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