document.write( "Question 60654: What are the values of z satisfying the equation?
\n" ); document.write( "-2z/z-8=4/z^2-5z-24 \n" ); document.write( "
Algebra.Com's Answer #41625 by asha(30)\"\" \"About 
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the sum is -2z/z-8 =4/z^2-5z-24
\n" ); document.write( " -2z/z-8 =4/(z-8)(z+3) by splitting the middle term such that
\n" ); document.write( " sum is -5 and product is-24,we get factors
\n" ); document.write( " -8 and +3
\n" ); document.write( " =>-z =2/z+3 cancelling common term 2 and z-8
\n" ); document.write( " -z(z+3) =2
\n" ); document.write( " -z^2-3z-2=0
\n" ); document.write( " z^2 + 3z +2 =0
\n" ); document.write( " z^2 +z +2z +2=0 splitting the middle term such that sum is3 and product is2
\n" ); document.write( " z(z+1)+2(z+1)=0
\n" ); document.write( " (z+1)(z+2)=0
\n" ); document.write( " z=-1 or z=-2 is the answer. \n" ); document.write( "
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