What two numbers multiply to -405 and add up to 12?

Here we answer the question: "What two numbers multiply to -405 and add up to 12?"

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 12:

-15 × 27 = -405
-15 + 27 = 12

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

x² + 12x - 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 12, you know that the following is true:

x² + 12x - 405 = (x - 15 ) (x + 27)

Multiply To One Number and Add Up To Another
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