Extract the x values that make the two functions values equal

63 Views Asked by At

I have two functions for the x variable. I want to extract x values that make the equations equal.

(1)

$${\small F(x)= a + b - a b + c x - b c x + d x - a d x- a e x + a b e x- b f x + a b f x- c d x + a d e x + b c f x - a b e f x}$$ (2) $${\small G(x)=a + b - a b + c x - b c x + d x - a d x - a e x + a b e x - b f x + a b f x - c d x^2 + a d e x^2 + b c f x^2 - a b e f x^2}$$ where $x\in[0,1]$

equal to each other (i.e. F(x)=G(x) )

Is it possible to make a law according to the structure of the functions

In other words. A law to extract values according to the structure of functions

I do not know where to start and how to extract values

This is possible for 0 and 1.