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Need help putting the answer in

Need help putting the answer in-example-1

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Explanation:

We can rewrite the given equation as


x^2 + (1)/(5)x - (12)/(25) = (x + (4)/(5))(x - (3)/(5))

As a check, let's multiply out the factors:


(x + (4)/(5))(x - (3)/(5)) = x^2 - (3)/(5)x + (4)/(5)x - (12)/(25)


= x^2 + (1)/(5)x - (12)/(25)

and this is our original equation.

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