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:

-27 and -15

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

-27 × -15 = 405
-27 + -15 = -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 - 27 ) (x - 15)

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

x² - 42x + 405 = (x - 27 ) (x - 15)

Multiply To One Number and Add Up To Another
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