What two numbers multiply to -408 and add up to 407?

Here we answer the question: "What two numbers multiply to -408 and add up to 407?"

The answer to your question is:

-1 and 408

Below we illustrate and prove that -1 and 408 multiply to -408 and add up to 407:

-1 × 408 = -408
-1 + 408 = 407

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

x² + 407x - 408 = 0

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

(x - 1 ) (x + 408)

To summarize, since -1 and 408 multiply to -408 and add up 407, you know that the following is true:

x² + 407x - 408 = (x - 1 ) (x + 408)

Multiply To One Number and Add Up To Another
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