What two numbers multiply to -675 and add up to 30?

Here we answer the question: "What two numbers multiply to -675 and add up to 30?"

The answer to your question is:

-15 and 45

Below we illustrate and prove that -15 and 45 multiply to -675 and add up to 30:

-15 × 45 = -675
-15 + 45 = 30

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

x² + 30x - 675 = 0

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

(x - 15 ) (x + 45)

To summarize, since -15 and 45 multiply to -675 and add up 30, you know that the following is true:

x² + 30x - 675 = (x - 15 ) (x + 45)

Multiply To One Number and Add Up To Another
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