document.write( "Question 917599: 4/(y+2) = 1 - 8/(y(y+2)) I know the answer is 4 for this rational equation but I don't know how to solve it. An explanation would be very appreciated, thanks. \n" ); document.write( "
Algebra.Com's Answer #556720 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"4%2F%28y%2B2%29+=+1+-+8%2F%28y%28y%2B2%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"4+=+%281+-+8%2F%28y%28y%2B2%29%29%29%28y%2B2%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"4+=+1%28y%2B2%29+-+%288%2F%28y%28y%2B2%29%29%29%28y%2B2%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"4+=+1%28y%2B2%29+-+%288%2F%28y%2Across%28%28y%2B2%29%29%29%29cross%28%28y%2B2%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "\"4+=+y%2B2+-+8%2Fy+\"\r
\n" ); document.write( "\n" ); document.write( "\"4-2+=+y+-+8%2Fy+\"\r
\n" ); document.write( "\n" ); document.write( "\"2+=+%28y%5E2+-+8%29%2Fy+\"\r
\n" ); document.write( "\n" ); document.write( "\"2y+=+y%5E2+-+8+\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=+y%5E2+-2y-8+\"\r
\n" ); document.write( "\n" ); document.write( "\"+y%5E2+-4y%2B2y-8+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+%28y%5E2+-4y%29%2B%282y-8%29+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+y%28y+-4%29%2B2%28y-4%29+=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28y%2B2%29%28y-4%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"y%2B2=0\" =>\"y=-2\"\r
\n" ); document.write( "\n" ); document.write( "if \"y-4=0\"=>\"y=4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );