What two numbers multiply to -133 and add up to 12?

Here we answer the question: "What two numbers multiply to -133 and add up to 12?"

The answer to your question is:

-7 and 19

Below we illustrate and prove that -7 and 19 multiply to -133 and add up to 12:

-7 × 19 = -133
-7 + 19 = 12

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

x² + 12x - 133 = 0

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

(x - 7 ) (x + 19)

To summarize, since -7 and 19 multiply to -133 and add up 12, you know that the following is true:

x² + 12x - 133 = (x - 7 ) (x + 19)

Multiply To One Number and Add Up To Another
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