What two numbers multiply to -180 and add up to -31?

Here we answer the question: "What two numbers multiply to -180 and add up to -31?"

The answer to your question is:

-36 and 5

Below we illustrate and prove that -36 and 5 multiply to -180 and add up to -31:

-36 × 5 = -180
-36 + 5 = -31

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

x² - 31x - 180 = 0

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

(x - 36 ) (x + 5)

To summarize, since -36 and 5 multiply to -180 and add up -31, you know that the following is true:

x² - 31x - 180 = (x - 36 ) (x + 5)

Multiply To One Number and Add Up To Another
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