What two numbers multiply to -420 and add up to -23?

Here we answer the question: "What two numbers multiply to -420 and add up to -23?"

The answer to your question is:

-35 and 12

Below we illustrate and prove that -35 and 12 multiply to -420 and add up to -23:

-35 × 12 = -420
-35 + 12 = -23

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

x² - 23x - 420 = 0

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

(x - 35 ) (x + 12)

To summarize, since -35 and 12 multiply to -420 and add up -23, you know that the following is true:

x² - 23x - 420 = (x - 35 ) (x + 12)

Multiply To One Number and Add Up To Another
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