What two numbers multiply to -504 and add up to 78?

Here we answer the question: "What two numbers multiply to -504 and add up to 78?"

The answer to your question is:

-6 and 84

Below we illustrate and prove that -6 and 84 multiply to -504 and add up to 78:

-6 × 84 = -504
-6 + 84 = 78

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

x² + 78x - 504 = 0

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

(x - 6 ) (x + 84)

To summarize, since -6 and 84 multiply to -504 and add up 78, you know that the following is true:

x² + 78x - 504 = (x - 6 ) (x + 84)

Multiply To One Number and Add Up To Another
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