What two numbers multiply to -414 and add up to -37?

Here we answer the question: "What two numbers multiply to -414 and add up to -37?"

The answer to your question is:

-46 and 9

Below we illustrate and prove that -46 and 9 multiply to -414 and add up to -37:

-46 × 9 = -414
-46 + 9 = -37

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

x² - 37x - 414 = 0

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

(x - 46 ) (x + 9)

To summarize, since -46 and 9 multiply to -414 and add up -37, you know that the following is true:

x² - 37x - 414 = (x - 46 ) (x + 9)

Multiply To One Number and Add Up To Another
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