What two numbers multiply to -400 and add up to -75?

Here we answer the question: "What two numbers multiply to -400 and add up to -75?"

The answer to your question is:

-80 and 5

Below we illustrate and prove that -80 and 5 multiply to -400 and add up to -75:

-80 × 5 = -400
-80 + 5 = -75

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

x² - 75x - 400 = 0

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

(x - 80 ) (x + 5)

To summarize, since -80 and 5 multiply to -400 and add up -75, you know that the following is true:

x² - 75x - 400 = (x - 80 ) (x + 5)

Multiply To One Number and Add Up To Another
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