What two numbers multiply to -420 and add up to -13?

Here we answer the question: "What two numbers multiply to -420 and add up to -13?"

The answer to your question is:

-28 and 15

Below we illustrate and prove that -28 and 15 multiply to -420 and add up to -13:

-28 × 15 = -420
-28 + 15 = -13

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

x² - 13x - 420 = 0

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

(x - 28 ) (x + 15)

To summarize, since -28 and 15 multiply to -420 and add up -13, you know that the following is true:

x² - 13x - 420 = (x - 28 ) (x + 15)

Multiply To One Number and Add Up To Another
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