(18x^6-14x^4)/2x^3

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Solution for (18x^6-14x^4)/2x^3 equation:


x in (-oo:+oo)

x^3*((18*x^6-(14*x^4))/2) = 0

x^3*((18*x^6-14*x^4)/2) = 0

(x^3*(18*x^6-14*x^4))/2 = 0

18*x^6-14*x^4 = 0

2*x^4*(9*x^2-7) = 0

9*x^2 = 7 // : 9

x^2 = 7/9

x^2 = 7/9 // ^ 1/2

abs(x) = (7/9)^(1/2)

x = (7/9)^(1/2) or x = -(7/9)^(1/2)

2*x^4*(x-(7/9)^(1/2))*(x+(7/9)^(1/2)) = 0

(2*x^3*x^4*(x-(7/9)^(1/2))*(x+(7/9)^(1/2)))/2 = 0

( 2*x^4 )

2*x^4 = 0 // : 2

x^4 = 0

x = 0

( x+(7/9)^(1/2) )

x+(7/9)^(1/2) = 0 // - (7/9)^(1/2)

x = -(7/9)^(1/2)

( x-(7/9)^(1/2) )

x-(7/9)^(1/2) = 0 // + (7/9)^(1/2)

x = (7/9)^(1/2)

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0, -(7/9)^(1/2), (7/9)^(1/2), 0 }

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