What two numbers multiply to -214 and add up to -105?

Here we answer the question: "What two numbers multiply to -214 and add up to -105?"

The answer to your question is:

-107 and 2

Below we illustrate and prove that -107 and 2 multiply to -214 and add up to -105:

-107 × 2 = -214
-107 + 2 = -105

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

x² - 105x - 214 = 0

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

(x - 107 ) (x + 2)

To summarize, since -107 and 2 multiply to -214 and add up -105, you know that the following is true:

x² - 105x - 214 = (x - 107 ) (x + 2)

Multiply To One Number and Add Up To Another
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