Indicate Any Inputs That Must Be Excluded and Then Solve $$\frac { 5 } { 3 } + 4 x = \frac { 1 } { x }$$

Multiple Choice

Indicate any inputs that must be excluded and then solve the equation. Factoring of the quadratic equation may be helpful. $$\frac { 5 } { 3 } + 4 x = \frac { 1 } { x }$$

A) $x \neq 0 , x = \frac { 1 } { 3 } , x = - \frac { 3 } { 4 }$
B) $x \neq 0 , x = \frac { 1 } { 2 } , x = - \frac { 2 } { 3 }$
C) $x \neq 0 , x = \frac { 1 } { 3 }$
D) $x \neq 0 , x = \frac { 1 } { 2 }$
E) $x \neq 0 , \text { no solution }$