What two numbers multiply to -45 and add up to -12?

Here we answer the question: "What two numbers multiply to -45 and add up to -12?"

The answer to your question is:

-15 and 3

Below we illustrate and prove that -15 and 3 multiply to -45 and add up to -12:

-15 × 3 = -45
-15 + 3 = -12

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

x² - 12x - 45 = 0

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

(x - 15 ) (x + 3)

To summarize, since -15 and 3 multiply to -45 and add up -12, you know that the following is true:

x² - 12x - 45 = (x - 15 ) (x + 3)

Multiply To One Number and Add Up To Another
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