Question 889359
{{{2x-5/x=x-3/2}}}
Multiply both sides by {{{x}}}
{{{2x^2-5=x^2-(3/2)x}}}
{{{x^2+(3/2)x-5=0}}}
{{{(x^2+(3/2)x+(3/4)^2)-5=(3/4)^2}}}
{{{(x+3/4)^2=9/16+80/16}}}
{{{(x+3/4)^2=89/16}}}
{{{x+3/4=0 +- sqrt(89)/4}}}
{{{x=-3/4 +- sqrt(89)/4}}}