((18z^7)-(10z^5))/2z^3

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Solution for ((18z^7)-(10z^5))/2z^3 equation: 


z in (-oo:+oo)

z^3*((18*z^7-(10*z^5))/2) = 0

z^3*((18*z^7-10*z^5)/2) = 0

(z^3*(18*z^7-10*z^5))/2 = 0

18*z^7-10*z^5 = 0

2*z^5*(9*z^2-5) = 0

9*z^2 = 5 // : 9

z^2 = 5/9

z^2 = 5/9 // ^ 1/2

abs(z) = (5/9)^(1/2)

z = (5/9)^(1/2) or z = -(5/9)^(1/2)

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

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

( 2*z^5 )

2*z^5 = 0 // : 2

z^5 = 0

z = 0

( z+(5/9)^(1/2) )

z+(5/9)^(1/2) = 0 // - (5/9)^(1/2)

z = -(5/9)^(1/2)

( z-(5/9)^(1/2) )

z-(5/9)^(1/2) = 0 // + (5/9)^(1/2)

z = (5/9)^(1/2)

( z^3 )

1*z^3 = 0 // : 1

z^3 = 0

z = 0

z in { 0, -(5/9)^(1/2), (5/9)^(1/2), 0 }

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