document.write( "Question 173605: I need help solving this equation can you help?
\n" ); document.write( "5/x-1=4/x+1/2x \n" ); document.write( "
Algebra.Com's Answer #128530 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


\n" ); document.write( "\n" ); document.write( "
    \n" ); document.write( "
  • Graphical form: \"5%2F%28x-1%29=%284%2Fx%29%2B%281%2F2%29%2A%28x%29\" simplifies to \"5%2F%28x-1%29-4%2Fx-x%2F2=0\"
  • Text form: 5/(x-1)=(4/x)+(1/2)*(x) simplifies to 5/(x-1)-4/x-x/2=0
  • Cartoon (animation) form: \"simplify_cartoon%28+5%2F%28x-1%29=%284%2Fx%29%2B%281%2F2%29%2A%28x%29+%29\"
    For tutors: simplify_cartoon( 5/(x-1)=(4/x)+(1/2)*(x) )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"5%2F%28x-1%29=highlight_red%28+%284%2Fx%29+%29%2B%281%2F2%29%2A%28x%29\".
Remove unneeded parentheses around terms \"highlight_red%28+4%2Fx+%29\"
It becomes \"5%2F%28x-1%29=highlight_green%28+4%2Fx+%29%2B%281%2F2%29%2A%28x%29\".
\n" ); document.write( "
Look at \"5%2F%28x-1%29=4%2Fx%2Bhighlight_red%28+%28highlight_red%28+1%2F2+%29%29%2A%28x%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes \"5%2F%28x-1%29=4%2Fx%2Bhighlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2A%28x%29\".
\n" ); document.write( "
Look at \"5%2F%28x-1%29=4%2Fx%2Bhighlight_red%28+1%2F2%2A%28highlight_red%28+x+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+x+%29\"
It becomes \"5%2F%28x-1%29=4%2Fx%2B1%2F2%2Ahighlight_green%28+x+%29\".
\n" ); document.write( "
Look at \"5%2F%28x-1%29=4%2Fx%2Bhighlight_red%28+1+%29%2F2%2Ax\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"5%2F%28x-1%29=4%2Fx%2Bx%2F2\".
\n" ); document.write( "
Look at \"5%2F%28x-1%29=highlight_red%28+4%2Fx%2Bx%2F2+%29\".
Moved these terms to the left \"highlight_green%28+-4%2Fx+%29\",\"highlight_green%28+-x%2F2+%29\"
It becomes \"5%2F%28x-1%29-highlight_green%28+4%2Fx+%29-highlight_green%28+x%2F2+%29=0\".
Result: \"5%2F%28x-1%29-4%2Fx-x%2F2=0\"
\n" ); document.write( "

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "
\n" );