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z in (-oo:+oo)
((z^3)/5)*(5*z^2-(17*z)-14) = 0
((z^3)/5)*(5*z^2-17*z-14) = 0
1/5*z^3*(5*z^2-17*z-14) = 0
5*z^2-17*z-14 = 0
5*z^2-17*z-14 = 0
DELTA = (-17)^2-(-14*4*5)
DELTA = 569
DELTA > 0
z = (569^(1/2)+17)/(2*5) or z = (17-569^(1/2))/(2*5)
z = (569^(1/2)+17)/10 or z = (17-569^(1/2))/10
(z-((17-569^(1/2))/10))*(z-((569^(1/2)+17)/10)) = 0
1/5*z^3*(z-((17-569^(1/2))/10))*(z-((569^(1/2)+17)/10)) = 0
( 1/5*z^3 )
1/5*z^3 = 0 // : 1/5
z^3 = 0
z = 0
( z-((17-569^(1/2))/10) )
z-((17-569^(1/2))/10) = 0 // + (17-569^(1/2))/10
z = (17-569^(1/2))/10
( z-((569^(1/2)+17)/10) )
z-((569^(1/2)+17)/10) = 0 // + (569^(1/2)+17)/10
z = (569^(1/2)+17)/10
z in { 0, (17-569^(1/2))/10, (569^(1/2)+17)/10 }
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