Question 136585
{{{1/x}}} - {{{1/6}}} = {{{4/(3x^2)}}}
:
Multiply equation by a common denominator 6x^2
6x^2*{{{1/x}}} - 6x^2*{{{1/6}}} = 6x^2*{{{4/(3x^2)}}} 
:
Cancel out the denominators, leaving you with:
6x - x^2 = 2(4)
:
You can arrange this as a quadratic equation:
x^2 - 6x + 8 = 0
Factors to:
(x-2)(x-4) = 0
Solutions
x = 2, x = 4
:
Check solution using x = 4
{{{1/4}}} - {{{1/6}}} = {{{4/(3*16)}}}
{{{1/4}}} - {{{1/6}}} = {{{4/(48)}}}
Using a common denominator of 12:
{{{3/12}}} - {{{2/12}}} = {{{1/12}}}
You can check the x = 2 solution