What two numbers multiply to -108 and add up to -33?

Here we answer the question: "What two numbers multiply to -108 and add up to -33?"

The answer to your question is:

-36 and 3

Below we illustrate and prove that -36 and 3 multiply to -108 and add up to -33:

-36 × 3 = -108
-36 + 3 = -33

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

x² - 33x - 108 = 0

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

(x - 36 ) (x + 3)

To summarize, since -36 and 3 multiply to -108 and add up -33, you know that the following is true:

x² - 33x - 108 = (x - 36 ) (x + 3)

Multiply To One Number and Add Up To Another
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