What two numbers multiply to -306 and add up to -45?

Here we answer the question: "What two numbers multiply to -306 and add up to -45?"

The answer to your question is:

-51 and 6

Below we illustrate and prove that -51 and 6 multiply to -306 and add up to -45:

-51 × 6 = -306
-51 + 6 = -45

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

x² - 45x - 306 = 0

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

(x - 51 ) (x + 6)

To summarize, since -51 and 6 multiply to -306 and add up -45, you know that the following is true:

x² - 45x - 306 = (x - 51 ) (x + 6)

Multiply To One Number and Add Up To Another
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