What two numbers multiply to 405 and add up to 42?

Here we answer the question: "What two numbers multiply to 405 and add up to 42?"

The answer to your question is:

15 and 27

Below we illustrate and prove that 15 and 27 multiply to 405 and add up to 42:

15 × 27 = 405
15 + 27 = 42

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

x² + 42x + 405 = 0

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

(x + 15 ) (x + 27)

To summarize, since 15 and 27 multiply to 405 and add up 42, you know that the following is true:

x² + 42x + 405 = (x + 15 ) (x + 27)

Multiply To One Number and Add Up To Another
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