What two numbers multiply to -414 and add up to -205?

Here we answer the question: "What two numbers multiply to -414 and add up to -205?"

The answer to your question is:

-207 and 2

Below we illustrate and prove that -207 and 2 multiply to -414 and add up to -205:

-207 × 2 = -414
-207 + 2 = -205

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

x² - 205x - 414 = 0

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

(x - 207 ) (x + 2)

To summarize, since -207 and 2 multiply to -414 and add up -205, you know that the following is true:

x² - 205x - 414 = (x - 207 ) (x + 2)

Multiply To One Number and Add Up To Another
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