Electrical fields between two objects

[cougarsoccer]

Homework Statement

Two charges are 1m apart, the first charge is -2.5microC and the second on is 6 microC, determine the point(other than infinity) at which the electric field is zero.

Homework Equations

E=(1/4PI(8.854*10^(-12)))*(q/r^2)

The Attempt at a Solution

ok maybe i am just really overthinking the problem at hand. but for my first attempt, i simply let E=0 and set it equal to the rest of the equation(with r=1) the thing is, i do not know how to find the point. (i'm assuming i am solving for q but i don't think that is right) I just do not know how to solve for the point

 

[turin]

You started off well enough. You are not solving for q; both of those are given. You are solving for something like r, except that is given, too, so that's probably what's confusing you. You have to put these charges in a coordinate system, and then give it some thought. Try to use symmetry to make this problem as simple as possible. Hint: if a point in space is 0.2 m from $-2.5~\mu{}C$, then how far away is it from $+6.0~\mu{}C$?