What two numbers multiply to -420 and add up to 53?

Here we answer the question: "What two numbers multiply to -420 and add up to 53?"

The answer to your question is:

-7 and 60

Below we illustrate and prove that -7 and 60 multiply to -420 and add up to 53:

-7 × 60 = -420
-7 + 60 = 53

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

x² + 53x - 420 = 0

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

(x - 7 ) (x + 60)

To summarize, since -7 and 60 multiply to -420 and add up 53, you know that the following is true:

x² + 53x - 420 = (x - 7 ) (x + 60)

Multiply To One Number and Add Up To Another
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