f(x)=x^2+2x+3*g(x)x+2

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Solution for f(x)=x^2+2x+3*g(x)x+2 equation: 


Simplifying
f(x) = x2 + 2x + 3g(x) * x + 2

Multiply f * x
fx = x2 + 2x + 3g(x) * x + 2

Multiply g * x
fx = x2 + 2x + 3gx * x + 2

Multiply gx * x
fx = x2 + 2x + 3gx2 + 2

Reorder the terms:
fx = 2 + 3gx2 + 2x + x2

Solving
fx = 2 + 3gx2 + 2x + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 2x-1 + 3gx + 2 + x

Simplifying
f = 2x-1 + 3gx + 2 + x

Reorder the terms:
f = 2 + 3gx + 2x-1 + x

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