What two numbers multiply to -120 and add up to 7?

Here we answer the question: "What two numbers multiply to -120 and add up to 7?"

The answer to your question is:

-8 and 15

Below we illustrate and prove that -8 and 15 multiply to -120 and add up to 7:

-8 × 15 = -120
-8 + 15 = 7

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

x² + 7x - 120 = 0

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

(x - 8 ) (x + 15)

To summarize, since -8 and 15 multiply to -120 and add up 7, you know that the following is true:

x² + 7x - 120 = (x - 8 ) (x + 15)

Multiply To One Number and Add Up To Another
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