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:

-30 and 14

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

-30 × 14 = -420
-30 + 14 = -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 - 30 ) (x + 14)

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

x² - 16x - 420 = (x - 30 ) (x + 14)

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.