What two numbers multiply to -420 and add up to 16?

Here we answer the question: "What two numbers multiply to -420 and add up to 16?"

The answer to your question is:

-14 and 30

Below we illustrate and prove that -14 and 30 multiply to -420 and add up to 16:

-14 × 30 = -420
-14 + 30 = 16

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

x² + 16x - 420 = 0

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

(x - 14 ) (x + 30)

To summarize, since -14 and 30 multiply to -420 and add up 16, you know that the following is true:

x² + 16x - 420 = (x - 14 ) (x + 30)

Multiply To One Number and Add Up To Another
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