Are you talking about part 1 or 2?
Are you trying to calculate the field at point A?
In that case, are you used to working with the coulomb law in it's vector form? It'll be much easier working in this form, with this formula:
The field E inflicted by a point charge q situated at point A on point B is:
[itex]\vec{E} = \frac{kq}{d^{3}}\vec{AB}[/itex]
where d is the distance between A and B and K is the Coulomb constant.
Writing everything in vector form should be pretty simple.
If you're totally unfamiliar with the vector form, you have no choice but to calculate separately the x and y components of the electrical field at the point A from the two different charges. That would be 4 different calculations involving trigonometry and is pretty tiring.
If you're still stuck you'll get further help, but give it a fair try first.
Btw the x fields might cancel out and might not. You have to calculate it - it isn't trivial, since the charges aren't equal and so aren't the distances between them and point A.
Good luck!