f(x)*g(x)=(4x)*(x+5)

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Solution for f(x)*g(x)=(4x)*(x+5) equation: 


Simplifying
f(x) * g(x) = (4x)(x + 5)

Multiply f * x
fx * g * x = (4x)(x + 5)

Multiply fx * g
fgx * x = (4x)(x + 5)

Multiply fgx * x
fgx2 = (4x)(x + 5)

Remove parenthesis around (4x)
fgx2 = 4x(x + 5)

Reorder the terms:
fgx2 = 4x(5 + x)
fgx2 = (5 * 4x + x * 4x)
fgx2 = (20x + 4x2)

Solving
fgx2 = 20x + 4x2

Solving for variable 'f'.

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

Divide each side by 'gx2'.
f = 20g-1x-1 + 4g-1

Simplifying
f = 20g-1x-1 + 4g-1

Reorder the terms:
f = 4g-1 + 20g-1x-1

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