(18x^7-10x^3)/2x^3

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


x in (-oo:+oo)

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

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

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

18*x^7-10*x^3 = 0

2*x^3*(9*x^4-5) = 0

9*x^4 = 5 // : 9

x^4 = 5/9

x^4 = 5/9 // ^ 1/4

abs(x) = (5/9)^(1/4)

x = (5/9)^(1/4) or x = -(5/9)^(1/4)

2*x^3*(x-(5/9)^(1/4))*(x+(5/9)^(1/4)) = 0

(2*x^3*x^3*(x-(5/9)^(1/4))*(x+(5/9)^(1/4)))/2 = 0

( 2*x^3 )

2*x^3 = 0 // : 2

x^3 = 0

x = 0

( x+(5/9)^(1/4) )

x+(5/9)^(1/4) = 0 // - (5/9)^(1/4)

x = -(5/9)^(1/4)

( x-(5/9)^(1/4) )

x-(5/9)^(1/4) = 0 // + (5/9)^(1/4)

x = (5/9)^(1/4)

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0, -(5/9)^(1/4), (5/9)^(1/4), 0 }

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