What two numbers multiply to -175 and add up to 30?

Here we answer the question: "What two numbers multiply to -175 and add up to 30?"

The answer to your question is:

-5 and 35

Below we illustrate and prove that -5 and 35 multiply to -175 and add up to 30:

-5 × 35 = -175
-5 + 35 = 30

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

x² + 30x - 175 = 0

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

(x - 5 ) (x + 35)

To summarize, since -5 and 35 multiply to -175 and add up 30, you know that the following is true:

x² + 30x - 175 = (x - 5 ) (x + 35)

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.