document.write( "Question 440606: The directions say: Solve the equation. Check your solution.\r
\n" ); document.write( "\n" ); document.write( "\"2m%2F%28m%2B4%29+=++3%2F%28m-1%29\"\r
\n" ); document.write( "\n" ); document.write( " 1. so what i did was cross multiply which gave me: \"2m%28m-1%29=3%28m%2B4%29\"
\n" ); document.write( " 2. then i distributed the 2m and 3 giving me: \"2m%5E2-2m+=+3m%2B12\"
\n" ); document.write( " 3. then i made it into a quadratic equation: \"2m%5E2-5m-12=0\"
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\n" ); document.write( " *** From here on I am lost, I tried factoring but i couldnt find anything that multiplies to -12 and adds
\n" ); document.write( " to -5\r
\n" ); document.write( "\n" ); document.write( " *** In the back of the book they showed the problem worked out, and from
\n" ); document.write( " here they managed to factor it to \"%282m%2B3%29%28m-4%29+=+0\" ; I'm confused
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Algebra.Com's Answer #304321 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
the sure-fire way is to use the quadratic formula
\n" ); document.write( " \"m+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "when equation is in the form
\n" ); document.write( "\"+ax%5E2+%2B+b%2Ax+%2B+c+=+0+\"
\n" ); document.write( "\"2m%5E2+-+5m+-+12+=+0+\"
\n" ); document.write( "\"+a+=+2+\"
\n" ); document.write( "\"+b+=+-5+\"
\n" ); document.write( "\"+c+=+-12+\"
\n" ); document.write( "\"m+=+%28-%28-5%29+%2B-+sqrt%28+%28-5%29%5E2-4%2A2%2A%28-12%29+%29%29%2F%282%2A2%29+\"
\n" ); document.write( "\"m+=+%28+5+%2B-+sqrt%28+25+%2B+96+%29%29+%2F+4+\"
\n" ); document.write( "\"m+=+%28+5+%2B-+sqrt%28+121+%29%29+%2F+4+\"
\n" ); document.write( "\"+m+=+%28+5+%2B+11%29%2F4+\"
\n" ); document.write( "(1) \"+m+=+4+\"
\n" ); document.write( "and the (-) square root,
\n" ); document.write( "\"+m+=+%285+-+11%29%2F4+\"
\n" ); document.write( "(2) \"+m+=+-3%2F2+\"
\n" ); document.write( "Now just rewrite (1) and (2) to get factors
\n" ); document.write( "\"+m+-+4+=+0+\"
\n" ); document.write( "\"+m+%2B+3%2F2+=+0+\"
\n" ); document.write( "Multiply both sides by \"2\"
\n" ); document.write( "\"+2m+%2B+3+=+0+\"
\n" ); document.write( "\"+%28m+-+4%29%2A%282m+%2B+3%29+=+0+\"
\n" ); document.write( "This works no matter how strange the coefficients are
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