What two numbers multiply to -84 and add up to 40?

Here we answer the question: "What two numbers multiply to -84 and add up to 40?"

The answer to your question is:

-2 and 42

Below we illustrate and prove that -2 and 42 multiply to -84 and add up to 40:

-2 × 42 = -84
-2 + 42 = 40

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

x² + 40x - 84 = 0

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

(x - 2 ) (x + 42)

To summarize, since -2 and 42 multiply to -84 and add up 40, you know that the following is true:

x² + 40x - 84 = (x - 2 ) (x + 42)

Multiply To One Number and Add Up To Another
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