What two numbers multiply to -105 and add up to -32?

Here we answer the question: "What two numbers multiply to -105 and add up to -32?"

The answer to your question is:

-35 and 3

Below we illustrate and prove that -35 and 3 multiply to -105 and add up to -32:

-35 × 3 = -105
-35 + 3 = -32

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

x² - 32x - 105 = 0

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

(x - 35 ) (x + 3)

To summarize, since -35 and 3 multiply to -105 and add up -32, you know that the following is true:

x² - 32x - 105 = (x - 35 ) (x + 3)

Multiply To One Number and Add Up To Another
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