Calculating breakeven equity for reshoves

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Calculating breakeven equity for reshoves

Hey RIO,

I suck at math and I'm trying to write a Javascript program to generate a chart showing breakeven Equities for each level of fold equity from 0% - 90% at 10% intervals. To do this, I'm trying to get an equation where we solve for our Equity vs. villain's range when our reshove is called (HU Spots). It doesn't really matter if our shove is a 3bet,4bet,or 5+bet. Here's where I'm at:

User gives us Current Pot size (size of the pot before we reshove) and Effective Shove amount (effective stack size we are jamming)

Let's call Pot size currently P and the effective shove amount S:

Our EV is made up of EV(fold) and EV(call), so that EV(total) = EV(fold) + EV(call)

To find neutral/breakeven equity point: 0 = EV(fold) + EV(call) and
-EV(fold) = EV(call)

So our EV(call) looks like this:

EV(call) = (%Call) * ( (Equity* (P+2S)) - ((1-Equity)*(S)) )

So, given a certain % of fold equity, I want to find our breakeven equity in the hand. I need to get the equation in the form:

Equity = BLAHBLAHBLAH

but I've tried doing it a bunch of times and my results are coming up incorrect.

Am I missing something here?

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