G(f(5))=(3x)*(x-2)

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Solution for G(f(5))=(3x)*(x-2) equation: 


Simplifying
G(f(5)) = (3x)(x + -2)

Reorder the terms for easier multiplication:
G(5f) = (3x)(x + -2)

Remove parenthesis around (5f)
G * 5f = (3x)(x + -2)

Reorder the terms for easier multiplication:
5G * f = (3x)(x + -2)

Multiply G * f
5fG = (3x)(x + -2)

Remove parenthesis around (3x)
5fG = 3x(x + -2)

Reorder the terms:
5fG = 3x(-2 + x)
5fG = (-2 * 3x + x * 3x)
5fG = (-6x + 3x2)

Solving
5fG = -6x + 3x2

Solving for variable 'f'.

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

Divide each side by '5G'.
f = -1.2xG-1 + 0.6x2G-1

Simplifying
f = -1.2xG-1 + 0.6x2G-1

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