What two numbers multiply to -588 and add up to 28?

Here we answer the question: "What two numbers multiply to -588 and add up to 28?"

The answer to your question is:

-14 and 42

Below we illustrate and prove that -14 and 42 multiply to -588 and add up to 28:

-14 × 42 = -588
-14 + 42 = 28

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

x² + 28x - 588 = 0

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

(x - 14 ) (x + 42)

To summarize, since -14 and 42 multiply to -588 and add up 28, you know that the following is true:

x² + 28x - 588 = (x - 14 ) (x + 42)

Multiply To One Number and Add Up To Another
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