ANSWER
C. x=2
EXPLANATION
The given equation is
[tex] \frac{x + 4}{6x} = \frac{1}{x} [/tex]
Cross multiply to get,
[tex]6x = x(x + 4)[/tex]
Expand to get:
[tex]6x = {x}^{2} + 4x[/tex]
[tex] {x}^{2} + 4x - 6x = 0[/tex]
[tex] {x}^{2} - 2x = 0[/tex]
[tex]x(x - 2) = 0[/tex]
[tex]x = 0 \: or \: x = 2[/tex]
But the domain is
[tex]x \ne0[/tex]
Therefore the solution is x=2.
