Question 1174761
<br>
{{{x - (1/n)x - (x - (1/nx)(1/m)) = a}}}<br>
{{{x - (1/n)x - (x-1/mnx) = a}}}<br>
{{{x - (x/n) - x + 1/mnx = a}}}<br>
{{{1/mnx - x/n = a}}}<br>
{{{1/mnx - x/n - a = 0}}}<br>
Clear fractions by multiplying everything by mnx:<br>
{{{1 - mx^2 - amnx = 0}}}<br>
{{{mx^2+amnx-1 = 0}}}<br>
This is a quadratic equation; the quadratic will clearly not factor, so use the quadratic formula.<br>
{{{(m)x^2 + (amn)x + (-1) = 0}}}<br>
Plug those coefficients in the quadratic formula and simplify if needed.<br>