What two numbers multiply to -72 and add up to 6?

Here we answer the question: "What two numbers multiply to -72 and add up to 6?"

The answer to your question is:

-6 and 12

Below we illustrate and prove that -6 and 12 multiply to -72 and add up to 6:

-6 × 12 = -72
-6 + 12 = 6

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

x² + 6x - 72 = 0

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

(x - 6 ) (x + 12)

To summarize, since -6 and 12 multiply to -72 and add up 6, you know that the following is true:

x² + 6x - 72 = (x - 6 ) (x + 12)

Multiply To One Number and Add Up To Another
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