What two numbers multiply to 300 and add up to -40?

Here we answer the question: "What two numbers multiply to 300 and add up to -40?"

The answer to your question is:

-30 and -10

Below we illustrate and prove that -30 and -10 multiply to 300 and add up to -40:

-30 × -10 = 300
-30 + -10 = -40

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

x² - 40x + 300 = 0

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

(x - 30 ) (x - 10)

To summarize, since -30 and -10 multiply to 300 and add up -40, you know that the following is true:

x² - 40x + 300 = (x - 30 ) (x - 10)

Multiply To One Number and Add Up To Another
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