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:

-15 and 8

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

-15 × 8 = -120
-15 + 8 = -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 - 15 ) (x + 8)

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

x² - 7x - 120 = (x - 15 ) (x + 8)

Multiply To One Number and Add Up To Another
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