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:

-5 and 15

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

-5 × 15 = -75
-5 + 15 = 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 - 5 ) (x + 15)

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

x² + 10x - 75 = (x - 5 ) (x + 15)

Multiply To One Number and Add Up To Another
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