(16u^7-18u^5)/2u^3

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Solution for (16u^7-18u^5)/2u^3 equation:


u in (-oo:+oo)

u^3*((16*u^7-(18*u^5))/2) = 0

u^3*((16*u^7-18*u^5)/2) = 0

(u^3*(16*u^7-18*u^5))/2 = 0

16*u^7-18*u^5 = 0

2*u^5*(8*u^2-9) = 0

8*u^2 = 9 // : 8

u^2 = 9/8

u^2 = 9/8 // ^ 1/2

abs(u) = (9/8)^(1/2)

u = (9/8)^(1/2) or u = -(9/8)^(1/2)

2*u^5*(u-(9/8)^(1/2))*(u+(9/8)^(1/2)) = 0

(2*u^3*u^5*(u-(9/8)^(1/2))*(u+(9/8)^(1/2)))/2 = 0

( 2*u^5 )

2*u^5 = 0 // : 2

u^5 = 0

u = 0

( u+(9/8)^(1/2) )

u+(9/8)^(1/2) = 0 // - (9/8)^(1/2)

u = -(9/8)^(1/2)

( u-(9/8)^(1/2) )

u-(9/8)^(1/2) = 0 // + (9/8)^(1/2)

u = (9/8)^(1/2)

( u^3 )

1*u^3 = 0 // : 1

u^3 = 0

u = 0

u in { 0, -(9/8)^(1/2), (9/8)^(1/2), 0 }

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