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:

-12 and 26

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

-12 × 26 = -312
-12 + 26 = 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 - 12 ) (x + 26)

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

x² + 14x - 312 = (x - 12 ) (x + 26)

Multiply To One Number and Add Up To Another
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