What two numbers multiply to -585 and add up to -32?

Here we answer the question: "What two numbers multiply to -585 and add up to -32?"

The answer to your question is:

-45 and 13

Below we illustrate and prove that -45 and 13 multiply to -585 and add up to -32:

-45 × 13 = -585
-45 + 13 = -32

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

x² - 32x - 585 = 0

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

(x - 45 ) (x + 13)

To summarize, since -45 and 13 multiply to -585 and add up -32, you know that the following is true:

x² - 32x - 585 = (x - 45 ) (x + 13)

Multiply To One Number and Add Up To Another
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