I am trying to solve a system of nonlinear equations in node.js

Question

I'm trying to solve the following equation programmatically:

(ax−x0)^2 + (ay−y0)^2 = r^2
(bx−x0)^2 + (by−y0)^2 = (r+330bs)^2
(cx−x0)^2 + (cy−y0)^2 = (r+330cs)^2

ax,bx,cx,ay,by,cy,bs and cs are parameters, all which i get at runtime. I'm trying to find x0 and y0 , but when i feed this into algebra.js it errors out. I'm a high-school student so i didn't study high-end math (I have found solutions revolving matrices, which I didn't learn yet)

Would love some help with this, thanks in advance.

EDIT:

The code i have used with algebra.js was:

/*
    a = ax*
    b = bx*
    c = cx*
    d = ay*
    e = by*
    f = cy*
    g = x0
    h = y0
    i = r
    j = bs*
    k = cs*
*/
var eq = algebra.parse("(a−g)^2 + (d−h)^2 = i^2");
eq.solveFor("g");

I then wanted to put the answer in the second equation and solve that, but that didn't work.

EDIT2:

The source of this equation is this by the way.

Answer 1

The problem is the minus sign itself. Try this with your minus sign i copied from here

console.log("−".charCodeAt());

you get 8722 http://www.codetable.net/decimal/8722 now with minus sign that i typed in on my keyboard

console.log("-".charCodeAt());

i get 45 http://www.codetable.net/decimal/45

and with charCode 45 your code works, well at least for me

That's all i know, i have no explanation to this sorry :)