Find the range of values of k if kx^2+8x>6-k for all real values of x

What does for all the real values of x mean?

The answer is k>8 and I can't seem to get it

this is my working by the way:

Kx^2 +8x+k-6 >0

a=k b=8 c=k-6

sub into b^2-4ac

4k^2-24k-64<0

k^2-6k-16<0

(k-8)(k+2)<0

thank you!