What two numbers multiply to -814 and add up to 405?

Here we answer the question: "What two numbers multiply to -814 and add up to 405?"

The answer to your question is:

-2 and 407

Below we illustrate and prove that -2 and 407 multiply to -814 and add up to 405:

-2 × 407 = -814
-2 + 407 = 405

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

x² + 405x - 814 = 0

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

(x - 2 ) (x + 407)

To summarize, since -2 and 407 multiply to -814 and add up 405, you know that the following is true:

x² + 405x - 814 = (x - 2 ) (x + 407)

Multiply To One Number and Add Up To Another
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