What two numbers multiply to -215 and add up to -38?

Here we answer the question: "What two numbers multiply to -215 and add up to -38?"

The answer to your question is:

-43 and 5

Below we illustrate and prove that -43 and 5 multiply to -215 and add up to -38:

-43 × 5 = -215
-43 + 5 = -38

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

x² - 38x - 215 = 0

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

(x - 43 ) (x + 5)

To summarize, since -43 and 5 multiply to -215 and add up -38, you know that the following is true:

x² - 38x - 215 = (x - 43 ) (x + 5)

Multiply To One Number and Add Up To Another
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