What two numbers multiply to 420 and add up to 44?

Here we answer the question: "What two numbers multiply to 420 and add up to 44?"

The answer to your question is:

14 and 30

Below we illustrate and prove that 14 and 30 multiply to 420 and add up to 44:

14 × 30 = 420
14 + 30 = 44

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

x² + 44x + 420 = 0

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

(x + 14 ) (x + 30)

To summarize, since 14 and 30 multiply to 420 and add up 44, you know that the following is true:

x² + 44x + 420 = (x + 14 ) (x + 30)

Multiply To One Number and Add Up To Another
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