What two numbers multiply to -408 and add up to -43?

Here we answer the question: "What two numbers multiply to -408 and add up to -43?"

The answer to your question is:

-51 and 8

Below we illustrate and prove that -51 and 8 multiply to -408 and add up to -43:

-51 × 8 = -408
-51 + 8 = -43

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

x² - 43x - 408 = 0

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

(x - 51 ) (x + 8)

To summarize, since -51 and 8 multiply to -408 and add up -43, you know that the following is true:

x² - 43x - 408 = (x - 51 ) (x + 8)

Multiply To One Number and Add Up To Another
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