Question 875869
{{{1/4 + (4/8)x = 6/x + 1/2}}}
{{{1/4 + (1/2)x = 6/x + 1/2}}}
Multiply both sides by 4x
{{{x+2x^2=24+2x}}}
{{{2x^2-x-24=0}}}
{{{2(x^2-x/2+1/16)-24-2/16=0}}}
{{{2(x-1/4)^2=193/8}}}
{{{(x-1/4)^2=193/16}}}
{{{x-1/4=0 +- sqrt(193)/4}}}
{{{x=(1 +- sqrt(193))/4}}}