Question 60654
the sum is -2z/z-8 =4/z^2-5z-24
          -2z/z-8 =4/(z-8)(z+3)   by splitting the middle term such that
                                  sum is -5 and product is-24,we get factors
                                   -8 and +3
       =>-z =2/z+3           cancelling common term 2 and z-8
      -z(z+3) =2
     -z^2-3z-2=0
     z^2 + 3z +2 =0
    z^2 +z +2z +2=0  splitting the middle term such that sum is3 and product is2
    z(z+1)+2(z+1)=0
    (z+1)(z+2)=0
    z=-1 or z=-2 is the answer.