f(3n)=x^2+6x-1

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Solution for f(3n)=x^2+6x-1 equation:


Simplifying
f(3n) = x2 + 6x + -1

Remove parenthesis around (3n)
f * 3n = x2 + 6x + -1

Reorder the terms for easier multiplication:
3f * n = x2 + 6x + -1

Multiply f * n
3fn = x2 + 6x + -1

Reorder the terms:
3fn = -1 + 6x + x2

Solving
3fn = -1 + 6x + x2

Solving for variable 'f'.

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

Divide each side by '3n'.
f = -0.3333333333n-1 + 2n-1x + 0.3333333333n-1x2

Simplifying
f = -0.3333333333n-1 + 2n-1x + 0.3333333333n-1x2

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