What two numbers add up to 39 and multyply to 270

The answer to your question is - 45 and 6 as shown here:

-45 x 6 = - 270

-45 + 6 = - 39

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 - 39x - 270 = 0

If so, the solution to factor the quadratic equation above is:

(X - 45) (X + 6)

To summarize, since - 45 and 6 multiply to - 270 and add up - 39, you know that the following is true:

x2 - 39x - 270 = (X - 45) (X + 6)