z2/2-5z=-8z

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Solution for z2/2-5z=-8z equation: 


z in (-oo:+oo)

(z^2)/2-(5*z) = -8*z // + -8*z

(z^2)/2-(5*z)-(-8*z) = 0

(z^2)/2-5*z+8*z = 0

1/2*z^2+3*z = 0

DELTA = 3^2-(0*1/2*4)

DELTA = 9

DELTA > 0

z = (9^(1/2)-3)/(1/2*2) or z = (-9^(1/2)-3)/(1/2*2)

z = 0 or z = -6

z in { -6, 0 }

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