What two numbers multiply to -500 and add up to -40?

Here we answer the question: "What two numbers multiply to -500 and add up to -40?"

The answer to your question is:

-50 and 10

Below we illustrate and prove that -50 and 10 multiply to -500 and add up to -40:

-50 × 10 = -500
-50 + 10 = -40

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

x² - 40x - 500 = 0

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

(x - 50 ) (x + 10)

To summarize, since -50 and 10 multiply to -500 and add up -40, you know that the following is true:

x² - 40x - 500 = (x - 50 ) (x + 10)

Multiply To One Number and Add Up To Another
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