What two numbers multiply to -288 and add up to 12?

Here we answer the question: "What two numbers multiply to -288 and add up to 12?"

The answer to your question is:

-12 and 24

Below we illustrate and prove that -12 and 24 multiply to -288 and add up to 12:

-12 × 24 = -288
-12 + 24 = 12

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

x² + 12x - 288 = 0

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

(x - 12 ) (x + 24)

To summarize, since -12 and 24 multiply to -288 and add up 12, you know that the following is true:

x² + 12x - 288 = (x - 12 ) (x + 24)

Multiply To One Number and Add Up To Another
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