8-z/3(z-1)=-1/6

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Solution for 8-z/3(z-1)=-1/6 equation: 


z in (-oo:+oo)

8-((z/3)*(z-1)) = -1/6 // + -1/6

8-((z/3)*(z-1))-(-1/6) = 0

1/6-((z/3)*(z-1))+8 = 0

1/6-1*1/3*z*(z-1)+8 = 0

(-1*1/3*6*z*(z-1))/6+1/6+(6*8)/6 = 0

6*8-1*1/3*6*z*(z-1)+1 = 0

2*z-2*z^2+1+48 = 0

2*z-2*z^2+49 = 0

2*z-2*z^2+49 = 0

2*z-2*z^2+49 = 0

DELTA = 2^2-(-2*4*49)

DELTA = 396

DELTA > 0

z = (396^(1/2)-2)/(-2*2) or z = (-396^(1/2)-2)/(-2*2)

z = (6*11^(1/2)-2)/(-4) or z = (-6*11^(1/2)-2)/(-4)

(z-((6*11^(1/2)-2)/(-4)))*(z-((-6*11^(1/2)-2)/(-4))) = 0

((z-((6*11^(1/2)-2)/(-4)))*(z-((-6*11^(1/2)-2)/(-4))))/6 = 0

((z-((6*11^(1/2)-2)/(-4)))*(z-((-6*11^(1/2)-2)/(-4))))/6 = 0 // * 6

(z-((6*11^(1/2)-2)/(-4)))*(z-((-6*11^(1/2)-2)/(-4))) = 0

( z-((-6*11^(1/2)-2)/(-4)) )

z-((-6*11^(1/2)-2)/(-4)) = 0 // + (-6*11^(1/2)-2)/(-4)

z = (-6*11^(1/2)-2)/(-4)

( z-((6*11^(1/2)-2)/(-4)) )

z-((6*11^(1/2)-2)/(-4)) = 0 // + (6*11^(1/2)-2)/(-4)

z = (6*11^(1/2)-2)/(-4)

z in { (-6*11^(1/2)-2)/(-4), (6*11^(1/2)-2)/(-4) }

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