What two numbers multiply to -315 and add up to 38?

Here we answer the question: "What two numbers multiply to -315 and add up to 38?"

The answer to your question is:

-7 and 45

Below we illustrate and prove that -7 and 45 multiply to -315 and add up to 38:

-7 × 45 = -315
-7 + 45 = 38

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

x² + 38x - 315 = 0

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

(x - 7 ) (x + 45)

To summarize, since -7 and 45 multiply to -315 and add up 38, you know that the following is true:

x² + 38x - 315 = (x - 7 ) (x + 45)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.