What two numbers multiply to -400 and add up to -30?

Here we answer the question: "What two numbers multiply to -400 and add up to -30?"

The answer to your question is:

-40 and 10

Below we illustrate and prove that -40 and 10 multiply to -400 and add up to -30:

-40 × 10 = -400
-40 + 10 = -30

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

x² - 30x - 400 = 0

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

(x - 40 ) (x + 10)

To summarize, since -40 and 10 multiply to -400 and add up -30, you know that the following is true:

x² - 30x - 400 = (x - 40 ) (x + 10)

Multiply To One Number and Add Up To Another
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