What two numbers multiply to -312 and add up to -14?

Here we answer the question: "What two numbers multiply to -312 and add up to -14?"

The answer to your question is:

-26 and 12

Below we illustrate and prove that -26 and 12 multiply to -312 and add up to -14:

-26 × 12 = -312
-26 + 12 = -14

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

x² - 14x - 312 = 0

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

(x - 26 ) (x + 12)

To summarize, since -26 and 12 multiply to -312 and add up -14, you know that the following is true:

x² - 14x - 312 = (x - 26 ) (x + 12)

Multiply To One Number and Add Up To Another
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