y^2(9/2)=-3y

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Solution for y^2(9/2)=-3y equation: 


y in (-oo:+oo)

(9/2)*y^2 = -3*y // + -3*y

(9/2)*y^2-(-3*y) = 0

(9/2)*y^2+3*y = 0

9/2*y^2+3*y = 0

DELTA = 3^2-(0*4*9/2)

DELTA = 9

DELTA > 0

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

y = 0 or y = -2/3

y in { -2/3, 0 }

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