document.write( "Question 7273: i need help on the following problem.....
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Algebra.Com's Answer #4013 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"1%2F2%2A%284x-8%29=2%2A%28x%2B3%29\" simplifies to \"-10=0\"
  • Text form: 1/2*(4x-8)=2*(x+3) simplifies to -10=0
  • Cartoon (animation) form: \"simplify_cartoon%28+1%2F2%2A%284x-8%29=2%2A%28x%2B3%29+%29\"
    For tutors: simplify_cartoon( 1/2*(4x-8)=2*(x+3) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+1+%29%2F2%2A%284%2Ax-8%29=2%2A%28x%2B3%29\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"%284%2Ax-8%29%2F2=2%2A%28x%2B3%29\".
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Look at \"%284%2Ax-8%29%2F2=highlight_red%28+2%2A%28x%2B3%29+%29\".
Moved these terms to the left \"highlight_green%28+-2%2A%28x%2B3%29+%29\"
It becomes \"%284%2Ax-8%29%2F2-highlight_green%28+2%2A%28x%2B3%29+%29=0\".
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Look at \"highlight_red%28+%284%2Ax-8%29%2F2+%29-2%2A%28x%2B3%29=0\".
Expanded term \"1%2F2\" by using associative property on \"%284%2Ax-8%29\"
It becomes \"highlight_green%28+1%2F2%2A4%2Ax+%29-highlight_green%28+1%2F2%2A8+%29-2%2A%28x%2B3%29=0\".
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Look at \"1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+4+%29%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0\".
Factors 4 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+2+%29%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0\".
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Look at \"highlight_red%28+1+%29%2F1%2Ahighlight_red%28+2+%29%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0\".
Multiplied numerator integers
It becomes \"highlight_green%28+2+%29%2F1%2Ax-1%2F2%2A8-2%2A%28x%2B3%29=0\".
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Look at \"2%2F1%2Ax-1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+8+%29-2%2A%28x%2B3%29=0\".
Factors 8 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes \"2%2F1%2Ax-1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+4+%29-2%2A%28x%2B3%29=0\".
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Look at \"2%2F1%2Ax-highlight_red%28+1+%29%2F1%2Ahighlight_red%28+4+%29-2%2A%28x%2B3%29=0\".
Multiplied numerator integers
It becomes \"2%2F1%2Ax-highlight_green%28+4+%29%2F1-2%2A%28x%2B3%29=0\".
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Look at \"2%2F1%2Ax-highlight_red%28+4%2F1+%29-2%2A%28x%2B3%29=0\".
Moved \"-4%2F1\" to the right of expression
It becomes \"2%2F1%2Ax-2%2A%28x%2B3%29-highlight_green%28+4%2F1+%29=0\".
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Look at \"2%2Fhighlight_red%28+1+%29%2Ax-2%2A%28x%2B3%29-4%2F1=0\".
Remove extraneous '1' from product \"highlight_red%28+1%2F1+%29\"
It becomes \"2%2Ax-2%2A%28x%2B3%29-4%2F1=0\".
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Look at \"2%2Ax-2%2A%28x%2B3%29-4%2Fhighlight_red%28+1+%29=0\".
Remove extraneous '1' from product \"highlight_red%28+1%2F1+%29\"
It becomes \"2%2Ax-2%2A%28x%2B3%29-4=0\".
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Look at \"2%2Ax-highlight_red%28+2%2A%28x%2B3%29+%29-4=0\".
Expanded term \"-2\" by using associative property on \"%28x%2B3%29\"
It becomes \"2%2Ax-highlight_green%28+2%2Ax+%29-highlight_green%28+2%2A3+%29-4=0\".
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Look at \"2%2Ax-2%2Ax-highlight_red%28+2+%29%2Ahighlight_red%28+3+%29-4=0\".
Multiplied numerator integers
It becomes \"2%2Ax-2%2Ax-highlight_green%28+6+%29-4=0\".
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Look at \"2%2Ax-2%2Ax-highlight_red%28+6+%29-highlight_red%28+4+%29=0\".
Added fractions or integers together
It becomes \"2%2Ax-2%2Ax%2Bhighlight_green%28+-10+%29=0\".
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Look at \"2%2Ax-2%2Ax%2Bhighlight_red%28+-10+%29=0\".
Removed extra sign in front of \"-10\"
It becomes \"2%2Ax-2%2Ax-highlight_green%28+10+%29=0\".
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Look at \"highlight_red%28+2%2Ax+%29-highlight_red%28+2%2Ax+%29-10=0\".
Eliminated similar terms \"highlight_red%28+2%2Ax+%29\",\"highlight_red%28+-2%2Ax+%29\" replacing them with \"highlight_green%28+%282-2%29%2Ax+%29\"
It becomes \"highlight_green%28+%282-2%29%2Ax+%29-10=0\".
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Look at \"highlight_red%28+%282-2%29%2Ax+%29-10=0\".
Since \"highlight_red%28+%282-2%29%2Ax+%29\" has zero as a factor, it should be replaced with a zero
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Look at \"0-10=0\".
Added fractions or integers together
It becomes \"0-10=0\".
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Look at \"highlight_red%28+0+%29-10=0\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"-10=0\".
Result: \"-10=0\"
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "As you can see, 10=0 is an impossible equation.
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