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:

-3 and 35

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

-3 × 35 = -105
-3 + 35 = 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 - 3 ) (x + 35)

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

x² + 32x - 105 = (x - 3 ) (x + 35)

Multiply To One Number and Add Up To Another
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