What two numbers multiply to -75 and add up to -10?

Here we answer the question: "What two numbers multiply to -75 and add up to -10?"

The answer to your question is:

-15 and 5

Below we illustrate and prove that -15 and 5 multiply to -75 and add up to -10:

-15 × 5 = -75
-15 + 5 = -10

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

x² - 10x - 75 = 0

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

(x - 15 ) (x + 5)

To summarize, since -15 and 5 multiply to -75 and add up -10, you know that the following is true:

x² - 10x - 75 = (x - 15 ) (x + 5)

Multiply To One Number and Add Up To Another
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