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:

-3 and 36

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

-3 × 36 = -108
-3 + 36 = 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 - 3 ) (x + 36)

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

x² + 33x - 108 = (x - 3 ) (x + 36)

Multiply To One Number and Add Up To Another
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