Question 1086244
{{{(8/x) - 8 = x/(2x-1)}}}
{{{8 - 8x = x^2/(2x-1)}}}
{{{8(2x-1) - 8x(2x-1) = x^2}}}

{{{(16x-8) - (16x^2-8x) = x^2}}}
{{{-16x^2+24x-8=x^2}}}
{{{-17x^2+24x-8=0}}}
{{{17x^2-24x+8=0}}}
Complete the square,
{{{17(x^2-(24/17)x)+8=0}}}
{{{17(x^2-(24/17)x+(12/17)^2)+8=17(12/17)^2}}}
{{{17(x-12/17)^2=144/17-136/17}}}
{{{17(x-12/17)^2=8/17}}}
{{{(x-12/17)^2=8/17^2}}}
{{{x-12/17=0 +- sqrt(8)/17}}}
{{{x=12/17 +- (2sqrt(2))/17}}}
{{{highlight(x=(12 +- 2sqrt(2))/17)}}}