What two numbers multiply to -480 and add up to 28?

Here we answer the question: "What two numbers multiply to -480 and add up to 28?"

The answer to your question is:

-12 and 40

Below we illustrate and prove that -12 and 40 multiply to -480 and add up to 28:

-12 × 40 = -480
-12 + 40 = 28

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

x² + 28x - 480 = 0

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

(x - 12 ) (x + 40)

To summarize, since -12 and 40 multiply to -480 and add up 28, you know that the following is true:

x² + 28x - 480 = (x - 12 ) (x + 40)

Multiply To One Number and Add Up To Another
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