Can You Solve this Complex Equation Derived from a Gambling Strategy?

[Rishijin]

I am just no good at math these days and I was wondering if someone could solve this equation that I derived from a popular gambling strategy. I would definitely save time for me if I knew X. I suppose it isn't that I'm bad at math, as I have a natural talent for it, but I don't remember any algebraic shortcuts on simplification, so this would take me a while. Thanks to anyone who helps!

Y = (X * 2 + 1) + (( X * 2 + 1) * 2 + 1) + ((( X * 2 + 1) * 2 + 1) * 2 + 1) + (((( X * 2 + 1 ) * 2 + 1 ) * 2 + 1) * 2 + 1)

 

[1+1=1]

Y=30x+26 It is just simple algebra I believe.

 

[HallsofIvy]

I am just no good at math these days and I was wondering if someone could solve this equation that I derived from a popular gambling strategy. I would definitely save time for me if I knew X. I suppose it isn't that I'm bad at math, as I have a natural talent for it, but I don't remember any algebraic shortcuts on simplification, so this would take me a while. Thanks to anyone who helps!

Y = (X * 2 + 1) + (( X * 2 + 1) * 2 + 1) + ((( X * 2 + 1) * 2 + 1) * 2 + 1) + (((( X * 2 + 1 ) * 2 + 1 ) * 2 + 1) * 2 + 1)

Is it possible that you are using "X*2+ 1" to mean X²+ 1?

 

[Rishijin]

I think it is either y = 31x +26 or y = 30x + 27.

Either way, thanks for simplifying it for me.

 

[robert Ihnot]

Rishijin: I think it is either y = 31x +26 or y = 30x + 27.


Might I ask, what does it have to do with gambling?