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:

-60 and 7

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

-60 × 7 = -420
-60 + 7 = -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 - 60 ) (x + 7)

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

x² - 53x - 420 = (x - 60 ) (x + 7)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.