You can put this solution on YOUR website! assuming that z=x-(8/2x). If this is z=(x-8)/2x see below
2xz=2x^2-8 multiplying through by 2x
2x^2-2xz-8=0
x^2-zx-4=0
x=(z+/- sqrt(z^2+16))/2
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if the other
2xz=x-8
2xz-x=-8
x(2z-1)=-8
x=(-8/(2z-1))
The parentheses matter.
