What two numbers multiply to -294 and add up to -7?

Here we answer the question: "What two numbers multiply to -294 and add up to -7?"

The answer to your question is:

-21 and 14

Below we illustrate and prove that -21 and 14 multiply to -294 and add up to -7:

-21 × 14 = -294
-21 + 14 = -7

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

x² - 7x - 294 = 0

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

(x - 21 ) (x + 14)

To summarize, since -21 and 14 multiply to -294 and add up -7, you know that the following is true:

x² - 7x - 294 = (x - 21 ) (x + 14)

Multiply To One Number and Add Up To Another
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