What two numbers multiply to -420 and add up to 32?

Here we answer the question: "What two numbers multiply to -420 and add up to 32?"

The answer to your question is:

-10 and 42

Below we illustrate and prove that -10 and 42 multiply to -420 and add up to 32:

-10 × 42 = -420
-10 + 42 = 32

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

x² + 32x - 420 = 0

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

(x - 10 ) (x + 42)

To summarize, since -10 and 42 multiply to -420 and add up 32, you know that the following is true:

x² + 32x - 420 = (x - 10 ) (x + 42)

Multiply To One Number and Add Up To Another
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