What two numbers multiply to -408 and add up to -7?

Here we answer the question: "What two numbers multiply to -408 and add up to -7?"

The answer to your question is:

-24 and 17

Below we illustrate and prove that -24 and 17 multiply to -408 and add up to -7:

-24 × 17 = -408
-24 + 17 = -7

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

x² - 7x - 408 = 0

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

(x - 24 ) (x + 17)

To summarize, since -24 and 17 multiply to -408 and add up -7, you know that the following is true:

x² - 7x - 408 = (x - 24 ) (x + 17)

Multiply To One Number and Add Up To Another
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