What two numbers multiply to -405 and add up to 76?

Here we answer the question: "What two numbers multiply to -405 and add up to 76?"

The answer to your question is:

-5 and 81

Below we illustrate and prove that -5 and 81 multiply to -405 and add up to 76:

-5 × 81 = -405
-5 + 81 = 76

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

x² + 76x - 405 = 0

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

(x - 5 ) (x + 81)

To summarize, since -5 and 81 multiply to -405 and add up 76, you know that the following is true:

x² + 76x - 405 = (x - 5 ) (x + 81)

Multiply To One Number and Add Up To Another
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