4z3+6z2-z=-1/2z

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Solution for 4z3+6z2-z=-1/2z equation: 


z in (-oo:+oo)

4*z^3+6*z^2-z = (-1/2)*z // - (-1/2)*z

4*z^3+6*z^2-z-((-1/2)*z) = 0

4*z^3+6*z^2-z+(1/2)*z = 0

4*z^3+6*z^2-1/2*z = 0

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

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

DELTA = 6^2-(-1/2*4*4)

DELTA = 44

DELTA > 0

z = (44^(1/2)-6)/(2*4) or z = (-44^(1/2)-6)/(2*4)

z = (2*11^(1/2)-6)/8 or z = (-2*11^(1/2)-6)/8

z = 0

z = 0

z in { (-2*11^(1/2)-6)/8, (2*11^(1/2)-6)/8, 0 }

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