fn=5n^2+4nf(3)-9

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Solution for fn=5n^2+4nf(3)-9 equation:


Simplifying
fn = 5n2 + 4nf(3) + -9

Reorder the terms for easier multiplication:
fn = 5n2 + 4 * 3fn + -9

Multiply 4 * 3
fn = 5n2 + 12fn + -9

Reorder the terms:
fn = -9 + 12fn + 5n2

Solving
fn = -9 + 12fn + 5n2

Solving for variable 'f'.

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

Add '-12fn' to each side of the equation.
fn + -12fn = -9 + 12fn + -12fn + 5n2

Combine like terms: fn + -12fn = -11fn
-11fn = -9 + 12fn + -12fn + 5n2

Combine like terms: 12fn + -12fn = 0
-11fn = -9 + 0 + 5n2
-11fn = -9 + 5n2

Divide each side by '-11n'.
f = 0.8181818182n-1 + -0.4545454545n

Simplifying
f = 0.8181818182n-1 + -0.4545454545n

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