40w-(180/(w^2))=0

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Solution for 40w-(180/(w^2))=0 equation: 


D( w )

w^2 = 0

w^2 = 0

w^2 = 0

1*w^2 = 0 // : 1

w^2 = 0

w = 0

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

40*w-(180/(w^2)) = 0

40*w-180*w^-2 = 0

40*w-180*w^-2 = 0

20*w*(2-9*w^-3) = 0

-9*w^-3 = -2 // : -9

w^-3 = 2/9

-3 < 0

1/(w^3) = 2/9 // * w^3

1 = 2/9*w^3 // : 2/9

9/2 = w^3

w^3 = 9/2 // ^ 1/3

w = (9/2)^(1/3)

20*w = 0

20*w = 0 // : 20

w = 0

w in { 0} 

w = (9/2)^(1/3)

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