document.write( "Question 5849: \"%28x%5E2%2F4%29+-1+-2x+=+-1\" \n" ); document.write( "
Algebra.Com's Answer #3012 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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  • This is an equation! Solutions: x=8,x=0.
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  • Graphical form: Equation \"%28x%5E2%2F4%29-1-2x=-1\" was fully solved.
  • Text form: (x^2/4)-1-2x=-1 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%28x%5E2%2F4%29-1-2x=-1+%29\"
    For tutors: simplify_cartoon( (x^2/4)-1-2x=-1 )
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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+%28x%5E2%2F4%29+%29-1-2%2Ax=-1\".
Remove unneeded parentheses around terms \"highlight_red%28+x%5E2%2F4+%29\"
It becomes \"highlight_green%28+x%5E2%2F4+%29-1-2%2Ax=-1\".
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Look at \"x%5E2%2F4-highlight_red%28+1+%29-2%2Ax=-1\".
Moved \"-1\" to the right of expression
It becomes \"x%5E2%2F4-2%2Ax-highlight_green%28+1+%29=-1\".
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Look at \"x%5E2%2F4-2%2Ax-1=highlight_red%28+-1+%29\".
Moved these terms to the left \"highlight_green%28+1+%29\"
It becomes \"x%5E2%2F4-2%2Ax-1%2Bhighlight_green%28+1+%29=0\".
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Look at \"x%5E2%2F4-2%2Ax-highlight_red%28+1+%29%2Bhighlight_red%28+1+%29=0\".
Added fractions or integers together
It becomes \"x%5E2%2F4-2%2Ax%2Bhighlight_green%28+0+%29=0\".
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Look at \"x%5E2%2F4-2%2Ax%2Bhighlight_red%28+0+%29=0\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"x%5E2%2F4-2%2Ax=0\".
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Look at \"highlight_red%28+x%5E2%2F4-2%2Ax+%29=0\".
Equation \"highlight_red%28+x%5E2%2F4-2%2Ax=0+%29\" is a quadratic equation: 0.25*x^2-2*x =0, and has solutions 8,0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=8,x=0.

Universal Simplifier and Solver

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Done!
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