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:

-12 and 6

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

-12 × 6 = -72
-12 + 6 = -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 - 12 ) (x + 6)

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

x² - 6x - 72 = (x - 12 ) (x + 6)

Multiply To One Number and Add Up To Another
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