document.write( "Question 34352: (x^2+2x-15)/(6-2x) can you help simplify. I got -x-5/2 \n" ); document.write( "
Algebra.Com's Answer #20605 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: \"%28x%5E2%2B2x-15%29%2F%286-2x%29\" simplifies to \"-x%2F2-5%2F2\"
  • Text form: (x^2+2x-15)/(6-2x) simplifies to -x/2-5/2
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x%5E2%2B2x-15%29%2F%286-2x%29+%29\"
    For tutors: simplify_cartoon( (x^2+2x-15)/(6-2x) )
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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 \"%28x%5E2%2B2%2Ax-15%29%2F%28highlight_red%28+6+%29-2%2Ax%29\".
Moved \"6\" to the right of expression
It becomes \"%28x%5E2%2B2%2Ax-15%29%2F%28-2%2Ax%2Bhighlight_green%28+6+%29%29\".
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Look at \"highlight_red%28+%28x%5E2%2B2%2Ax-15%29+%29%2Fhighlight_red%28+%28-2%2Ax%2B6%29+%29\".
Canceled out common factors (x-(3))
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Look at \"highlight_red%28+%28x%2B5%29%2F%28-highlight_red%28+2+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F2+%29\"
It becomes \"-%28x%2B5%29%2Fhighlight_green%28+2+%29\".
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Look at \"-highlight_red%28+%28x%2B5%29%2F2+%29\".
Expanded term \"-1%2F2\" by using associative property on \"%28x%2B5%29\"
It becomes \"-highlight_green%28+1%2F2%2Ax+%29-highlight_green%28+1%2F2%2A5+%29\".
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Look at \"-highlight_red%28+1+%29%2F2%2Ax-1%2F2%2A5\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"-x%2F2-1%2F2%2A5\".
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Look at \"-x%2F2-highlight_red%28+1+%29%2F2%2Ahighlight_red%28+5+%29\".
Multiplied numerator integers
It becomes \"-x%2F2-highlight_green%28+5+%29%2F2\".
Result: \"-x%2F2-5%2F2\"
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Universal Simplifier and Solver

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Done!
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