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:

-3 and 15

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

-3 × 15 = -45
-3 + 15 = 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 - 3 ) (x + 15)

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

x² + 12x - 45 = (x - 3 ) (x + 15)

Multiply To One Number and Add Up To Another
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