document.write( "Question 40435: Solve for X\r
\n" ); document.write( "\n" ); document.write( "X^2(2x-5)^2+x(5-2x)^3\r
\n" ); document.write( "\n" ); document.write( "Possible answers:\r
\n" ); document.write( "\n" ); document.write( "a. -13
\n" ); document.write( "b. -13/2
\n" ); document.write( "c. 13/2
\n" ); document.write( "d. 13
\n" ); document.write( "

Algebra.Com's Answer #25823 by Fermat(136)\"\" \"About 
You can put this solution on YOUR website!
I assume that your expression is equated to zero, yes?
\n" ); document.write( "\"x%5E2%282x-5%29%5E2%2Bx%285-2x%29%5E3+=+0\"
\n" ); document.write( "The term \"%285-2x%29%5E3\" can be rewritten as: \"-%282x-5%29%5E3\", giving
\n" ); document.write( "\"x%5E2%282x-5%29%5E2-x%282x-5%29%5E3+=+0\"
\n" ); document.write( "Take out the common factor of \"%282x-5%29%5E2\",
\n" ); document.write( "\"%282x-5%29%5E2%28x%5E2+-+x%282x-5%29%29+=+0\"
\n" ); document.write( "\"%282x-5%29%5E2%28x%5E2+-+2x%5E2+%2B+5x%29+=+0\"
\n" ); document.write( "\"%282x-5%29%5E2%285x+-+x%5E2%29+=+0\"
\n" ); document.write( "\"x%282x-5%29%5E2%285+-+x%29+=+0\"
\n" ); document.write( "Since the product of the three terms, \"x\",\"%282x-5%29\" and \"%285-x%29\" is zero, then we equate each of the individual terms to zero as a solution to the problem. This gives us,
\n" ); document.write( "\"x+=+0\", \"2x-5+=+0\", \"5-x+=+0\"
\n" ); document.write( "Ans: \"x+=+0\", \"x+=+5%2F2\", \"x+=+5\"
\n" ); document.write( "==========================
\n" ); document.write( "Unfortunately, none of the solutions match your possible answers. I can't see anything wrong with my working. Is the expression supposed to be equated to zero ?
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