Question 795

I need help on a proprtion, 

2u-3/4u=u-1/u    I did cross product method on this one and i got

2u(squared)-3u= 4u (squared)-4u then i isolated the u and the u (squared) and came out with u=2u(squared). I think i did this all right, but i'm not sure what the u would be. I missed this lesson in math becuase i'm on homebound school because of an illness i have. If you can please help me out i would appreciate it. Thank You.
<pre>It appears as though you mean: {{{(2u - 3)/(4u) = (u - 1)/u}}}, with {{{u <> 0}}}. If so, you need to use PARENTHESES next time
{{{(2u - 3)/(4u) = (u - 1)/u}}}
u(2u - 3) = 4u(u - 1) ------- Cross-multiplying
{{{2u^2 - 3u = 4u^2 - 4u}}}
{{{4u^2 - 2u^2 - 4u + 3u = 0}}}
{{{2u^2 - u = 0}}} ------- You're correct up to this point.
{{{u(2u - 1) = 0}}}
2u - 1 = 0                   OR               u = 0 (ignore) 
2u = 1
{{{highlight_green(u = 1/2)}}}