4/y2+3/4y-2/5y

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Solution for 4/y2+3/4y-2/5y equation: 


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

y in (-oo:0) U (0:+oo)

(3/4)*y-((2/5)*y)+4/(y^2) = 0

(3/4)*y+(-2/5)*y+4/(y^2) = 0

7/20*y+4*y^-2 = 0

y*(4*y^-3+7/20) = 0

4*y^-3 = -7/20 // : 4

y^-3 = -7/80

-3 < 0

1/(y^3) = -7/80 // * y^3

1 = -7/80*y^3 // : -7/80

-80/7 = y^3

y^3 = -80/7 // ^ 1/3

y = -(80/7)^(1/3)

y = 0

y = 0

y in { 0} 

y = -(80/7)^(1/3)

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