What two numbers multiply to 414 and add up to -75?

Here we answer the question: "What two numbers multiply to 414 and add up to -75?"

The answer to your question is:

-69 and -6

Below we illustrate and prove that -69 and -6 multiply to 414 and add up to -75:

-69 × -6 = 414
-69 + -6 = -75

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

x² - 75x + 414 = 0

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

(x - 69 ) (x - 6)

To summarize, since -69 and -6 multiply to 414 and add up -75, you know that the following is true:

x² - 75x + 414 = (x - 69 ) (x - 6)

Multiply To One Number and Add Up To Another
Did you find the information on this page useful? Here you can solve a similar problem.