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:

-10 and 40

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

-10 × 40 = -400
-10 + 40 = 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 - 10 ) (x + 40)

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

x² + 30x - 400 = (x - 10 ) (x + 40)

Multiply To One Number and Add Up To Another
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