What two numbers multiply to -300 and add up to 20?

Here we answer the question: "What two numbers multiply to -300 and add up to 20?"

The answer to your question is:

-10 and 30

Below we illustrate and prove that -10 and 30 multiply to -300 and add up to 20:

-10 × 30 = -300
-10 + 30 = 20

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

x² + 20x - 300 = 0

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

(x - 10 ) (x + 30)

To summarize, since -10 and 30 multiply to -300 and add up 20, you know that the following is true:

x² + 20x - 300 = (x - 10 ) (x + 30)

Multiply To One Number and Add Up To Another
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