What two numbers multiply to -312 and add up to -74?

Here we answer the question: "What two numbers multiply to -312 and add up to -74?"

The answer to your question is:

-78 and 4

Below we illustrate and prove that -78 and 4 multiply to -312 and add up to -74:

-78 × 4 = -312
-78 + 4 = -74

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

x² - 74x - 312 = 0

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

(x - 78 ) (x + 4)

To summarize, since -78 and 4 multiply to -312 and add up -74, you know that the following is true:

x² - 74x - 312 = (x - 78 ) (x + 4)

Multiply To One Number and Add Up To Another
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