GIVEN
[tex] \\ \frac{2}{x} - \frac{x + 1}{5} = - \frac{4}{5} \\ \\ [/tex]
Multiply the denominators to the numerators
[tex] \\ (5)(5)(x)(\frac{2}{x} - \frac{x + 1}{5} = - \frac{4}{5}) \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ 2(5)(5) - x + 1(5)(x) = - 4(x)(5) \\ \\ [/tex]
Multiply
[tex] \\ 50 - 5 {x}^{2} + 5x = - 20x \\ \\ - 5 {x}^{2} + 5x + 50 = - 20x \\ \\ - 5 {x}^{2} + 5x + 20x + 50 = 0 \\ \\ \green{\boxed{ \boxed{ \bold = - 5 {x}^{2} + 25x + 50 = 0}}} \\ \\ \\ [/tex]
