What two numbers multiply to -120 and add up to -14?

Here we answer the question: "What two numbers multiply to -120 and add up to -14?"

The answer to your question is:

-20 and 6

Below we illustrate and prove that -20 and 6 multiply to -120 and add up to -14:

-20 × 6 = -120
-20 + 6 = -14

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

x² - 14x - 120 = 0

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

(x - 20 ) (x + 6)

To summarize, since -20 and 6 multiply to -120 and add up -14, you know that the following is true:

x² - 14x - 120 = (x - 20 ) (x + 6)

Multiply To One Number and Add Up To Another
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