Question

Need help putting the answer in

Answer 1

Step-by-step explanation:

We can rewrite the given equation as

$x^2 + \frac{1}{5}x - \frac{12}{25} = (x + \frac{4}{5})(x - \frac{3}{5})$

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

$(x + \frac{4}{5})(x - \frac{3}{5}) = x^2 - \frac{3}{5}x + \frac{4}{5}x - \frac{12}{25}$

$= x^2 + \frac{1}{5}x - \frac{12}{25}$

and this is our original equation.