(6-8z-2/4)z=(-z/2)-2

Solution for (6-8z-2/4)z=(-z/2)-2 equation:

z in (-oo:+oo)

z*(6-(8*z)-(2/4)) = -z/2-2 // + -z/2-2

z*(6-(8*z)-(2/4))-(-z/2)+2 = 0

z*(6-8*z-1/2)+(1/2)*z+2 = 0

z*(11/2-8*z)+z/2+2 = 0

(2*z*(11/2-8*z))/2+z/2+(2^2)/2 = 0

2*z*(11/2-8*z)+z+4 = 0

12*z-16*z^2+4 = 0

12*z-16*z^2+4 = 0

4*(3*z-4*z^2+1) = 0

3*z-4*z^2+1 = 0

DELTA = 3^2-(-4*1*4)

DELTA = 25

DELTA > 0

z = (25^(1/2)-3)/(-4*2) or z = (-25^(1/2)-3)/(-4*2)

z = -1/4 or z = 1

4*(z+1/4)*(z-1) = 0

(4*(z+1/4)*(z-1))/2 = 0

(4*(z+1/4)*(z-1))/2 = 0 // * 2

4*(z+1/4)*(z-1) = 0

( z+1/4 )

z+1/4 = 0 // - 1/4

z = -1/4

( z-1 )

z-1 = 0 // + 1

z = 1

z in { -1/4, 1 }