(8w^3-5w)/7w

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Solution for (8w^3-5w)/7w equation: 


w in (-oo:+oo)

w*((8*w^3-(5*w))/7) = 0

w*((8*w^3-5*w)/7) = 0

(w*(8*w^3-5*w))/7 = 0

8*w^3-5*w = 0

w*(8*w^2-5) = 0

8*w^2 = 5 // : 8

w^2 = 5/8

w^2 = 5/8 // ^ 1/2

abs(w) = (5/8)^(1/2)

w = (5/8)^(1/2) or w = -(5/8)^(1/2)

w*(w-(5/8)^(1/2))*(w+(5/8)^(1/2)) = 0

(w^2*(w-(5/8)^(1/2))*(w+(5/8)^(1/2)))/7 = 0

( w+(5/8)^(1/2) )

w+(5/8)^(1/2) = 0 // - (5/8)^(1/2)

w = -(5/8)^(1/2)

( w-(5/8)^(1/2) )

w-(5/8)^(1/2) = 0 // + (5/8)^(1/2)

w = (5/8)^(1/2)

( w )

w = 0

w in { -(5/8)^(1/2), (5/8)^(1/2), 0, 0 }

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