SOLUTION: (x/4)/2=4/(x/2)

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Question 903871: (x/4)/2=4/(x/2)
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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.
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.
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.
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

Universal Simplifier and Solver


Done!


x/8 -8/x =0
add 8/x on both sides
x/8 -8/x +8/x = 8/x
x/8= 8/x
multiply with 8 on both sides
8* x/8 = 8*8/x
x= 64/x
multiply with x on both sides
x*x =64/x*x
x^2 =64
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=8,x=-8.
  • 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 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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.
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
This is an equation! Solutions: x=8,x=-8.

Universal Simplifier and Solver


Done!