(8x^7-18x^3)/2x^3

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Solution for (8x^7-18x^3)/2x^3 equation:


x in (-oo:+oo)

x^3*((8*x^7-(18*x^3))/2) = 0

x^3*((8*x^7-18*x^3)/2) = 0

(x^3*(8*x^7-18*x^3))/2 = 0

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

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

4*x^4 = 9 // : 4

x^4 = 9/4

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

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

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

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

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

( 2*x^3 )

2*x^3 = 0 // : 2

x^3 = 0

x = 0

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

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

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

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

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

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

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

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