0
3Y3 - 14Y2 - 5Y = 0
factor out a Y
Y(3Y2 - 14Y - 5) = 0
we know one answer is
Y = 0
------------so, to find other answer(s), the quadratic formula here
3Y2 - 14Y - 5 = 0
Y = - b (+/-) sqrt(b2 - 4ac)/2a
a = 3
b = - 14
c = - 5
Y = - (- 14) (+/-) sqrt[(-14)2 - 4(3)(- 5)]/2(3)
Y = 14 (+/-) sqrt(196 + 60)/6
Y = 14 (+/-) sqrt(256)/6
Y = [14 (+/-) 16]/6
Y = 5
Y = - 1/3
so, you answers are
Y = ( - 1/3, 0, 5)
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