document.write( "Question 69184This question is from textbook Algebra Structure and Method
\n" ); document.write( ": Solve. If equation has no solution, write no solution. \r
\n" ); document.write( "\n" ); document.write( "x over x+1 (+) x+1 over x = 5 over 2\r
\n" ); document.write( "\n" ); document.write( " $\"2x%5E2%2B2%28x%2B1%29%28x%2B1%29+=+5%5Bx%28x%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "2x^2+2(x^2+x+x+2) = 5(x^2+x)\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 2x^2 + 2x + 2x+4 = 5x^2+5x\r
\n" ); document.write( "\n" ); document.write( "0 = x^2 + x-4\r
\n" ); document.write( "\n" ); document.write( "that is as far as I got, please help! \n" ); document.write( "

Algebra.Com's Answer #51180 by Smirnov(15) $\"\"$ $\"About$

You can put this solution on YOUR website!
Well, 0 = x^2 + x-4 would be \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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This is an equation! Solutions: x=-2.56155281280883,x=1.56155281280883.
Graphical form: Equation $\"0=x%5E2%2Bx-4\"$ was fully solved.
Text form: 0=x^2+x-4 simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+0=x%5E2%2Bx-4+%29\"$
For tutors: simplify_cartoon( 0=x^2+x-4 )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"0=highlight_red%28+x%5E2%2Bx-4+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x%5E2+%29\"$ , $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+4+%29\"$
It becomes $\"0-highlight_green%28+x%5E2+%29-highlight_green%28+x+%29%2Bhighlight_green%28+4+%29=0\"$ .
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Look at $\"highlight_red%28+0+%29-x%5E2-x%2Bhighlight_red%28+4+%29=0\"$ .
Added fractions or integers together
It becomes $\"highlight_green%28+4+%29-x%5E2-x=0\"$ .
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Look at $\"highlight_red%28+4+%29-x%5E2-x=0\"$ .
Moved $\"4\"$ to the right of expression
It becomes $\"-x%5E2-x%2Bhighlight_green%28+4+%29=0\"$ .
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Look at $\"highlight_red%28+-x%5E2-x%2B4+%29=0\"$ .
Equation $\"highlight_red%28+-x%5E2-x%2B4=0+%29\"$ is a quadratic equation: -x^2-x+4 =0, and has solutions -2.56155281280883,1.56155281280883
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=-2.56155281280883,x=1.56155281280883.

Universal Simplifier and Solver

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Done!

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