(10x^7-x^5)/2x^3

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


x in (-oo:+oo)

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

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

10*x^7-x^5 = 0

x^5*(10*x^2-1) = 0

10*x^2 = 1 // : 10

x^2 = 1/10

x^2 = 1/10 // ^ 1/2

abs(x) = (1/10)^(1/2)

x = (1/10)^(1/2) or x = -(1/10)^(1/2)

x^5*(x-(1/10)^(1/2))*(x+(1/10)^(1/2)) = 0

(x^3*x^5*(x-(1/10)^(1/2))*(x+(1/10)^(1/2)))/2 = 0

( x+(1/10)^(1/2) )

x+(1/10)^(1/2) = 0 // - (1/10)^(1/2)

x = -(1/10)^(1/2)

( x-(1/10)^(1/2) )

x-(1/10)^(1/2) = 0 // + (1/10)^(1/2)

x = (1/10)^(1/2)

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

( x^5 )

1*x^5 = 0 // : 1

x^5 = 0

x = 0

x in { -(1/10)^(1/2), (1/10)^(1/2), 0, 0 }

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