What two numbers multiply to -576 and add up to -14?

Here we answer the question: "What two numbers multiply to -576 and add up to -14?"

The answer to your question is:

-32 and 18

Below we illustrate and prove that -32 and 18 multiply to -576 and add up to -14:

-32 × 18 = -576
-32 + 18 = -14

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

x² - 14x - 576 = 0

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

(x - 32 ) (x + 18)

To summarize, since -32 and 18 multiply to -576 and add up -14, you know that the following is true:

x² - 14x - 576 = (x - 32 ) (x + 18)

Multiply To One Number and Add Up To Another
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