document.write( "Question 903871: (x/4)/2=4/(x/2) \n" ); document.write( "
Algebra.Com's Answer #558784 by srinivas.g(540)\"\" \"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: \"%28x%2F4%29%2F2=4%2F%28x%2F2%29\" simplifies to \"x%2F8-8%2Fx=0\"
  • Text form: (x/4)/2=4/(x/2) simplifies to x/8-8/x=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x%2F4%29%2F2=4%2F%28x%2F2%29+%29\"
    For tutors: simplify_cartoon( (x/4)/2=4/(x/2) )
    • \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 \"highlight_red%28+%28highlight_red%28+x%2F4+%29%29%2F2+%29=4%2F%28x%2F2%29\".
Remove unneeded parentheses around factor \"highlight_red%28+x+%29\",\"highlight_red%28+1%2F4+%29\"
It becomes \"highlight_green%28+x+%29%2Fhighlight_green%28+4+%29%2F2=4%2F%28x%2F2%29\".
\n" ); document.write( "
Look at \"x%2Fhighlight_red%28+4+%29%2Fhighlight_red%28+2+%29=4%2F%28x%2F2%29\".
Multiplied denominator integers
It becomes \"x%2Fhighlight_green%28+8+%29=4%2F%28x%2F2%29\".
\n" ); document.write( "
Look at \"x%2F8=highlight_red%28+4%2F%28highlight_red%28+x%2F2+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2Fx+%29\",\"highlight_red%28+2+%29\"
It becomes \"x%2F8=4%2Fhighlight_green%28+x+%29%2Ahighlight_green%28+2+%29\".
\n" ); document.write( "
Look at \"x%2F8=highlight_red%28+4+%29%2Fx%2Ahighlight_red%28+2+%29\".
Multiplied numerator integers
It becomes \"x%2F8=highlight_green%28+8+%29%2Fx\".
\n" ); document.write( "
Look at \"x%2F8=highlight_red%28+8%2Fx+%29\".
Moved these terms to the left \"highlight_green%28+-8%2Fx+%29\"
It becomes \"x%2F8-highlight_green%28+8%2Fx+%29=0\".
Result: \"x%2F8-8%2Fx=0\"
\n" ); document.write( "

Universal Simplifier and Solver

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

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " x/8 -8/x =0
\n" ); document.write( " add 8/x on both sides
\n" ); document.write( " x/8 -8/x +8/x = 8/x
\n" ); document.write( " x/8= 8/x
\n" ); document.write( " multiply with 8 on both sides
\n" ); document.write( " 8* x/8 = 8*8/x
\n" ); document.write( " x= 64/x
\n" ); document.write( " multiply with x on both sides
\n" ); document.write( " x*x =64/x*x
\n" ); document.write( " x^2 =64
\n" ); document.write( " \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( "
  • This is an equation! Solutions: x=8,x=-8.
    • \n" ); document.write( "
  • Graphical form: Equation \"x%5E2=64\" was fully solved.
  • Text form: x^2=64 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%5E2=64+%29\"
    For tutors: simplify_cartoon( x^2=64 )
    • \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 \"x%5E2=highlight_red%28+64+%29\".
Moved these terms to the left \"highlight_green%28+-64+%29\"
It becomes \"x%5E2-highlight_green%28+64+%29=0\".
\n" ); document.write( "
Look at \"highlight_red%28+x%5E2-64+%29=0\".
Equation \"highlight_red%28+x%5E2-64=0+%29\" is a quadratic equation: x^2-64 =0, and has solutions 8,-8
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=8,x=-8.

Universal Simplifier and Solver

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