What two numbers multiply to 420 and add up to 43?

Here we answer the question: "What two numbers multiply to 420 and add up to 43?"

The answer to your question is:

15 and 28

Below we illustrate and prove that 15 and 28 multiply to 420 and add up to 43:

15 × 28 = 420
15 + 28 = 43

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

x² + 43x + 420 = 0

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

(x + 15 ) (x + 28)

To summarize, since 15 and 28 multiply to 420 and add up 43, you know that the following is true:

x² + 43x + 420 = (x + 15 ) (x + 28)

Multiply To One Number and Add Up To Another
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