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:

-14 and 21

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

-14 × 21 = -294
-14 + 21 = 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 - 14 ) (x + 21)

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

x² + 7x - 294 = (x - 14 ) (x + 21)

Multiply To One Number and Add Up To Another
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