What two numbers multiply to -420 and add up to 23?

Here we answer the question: "What two numbers multiply to -420 and add up to 23?"

The answer to your question is:

-12 and 35

Below we illustrate and prove that -12 and 35 multiply to -420 and add up to 23:

-12 × 35 = -420
-12 + 35 = 23

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

x² + 23x - 420 = 0

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

(x - 12 ) (x + 35)

To summarize, since -12 and 35 multiply to -420 and add up 23, you know that the following is true:

x² + 23x - 420 = (x - 12 ) (x + 35)

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.