(4x^7-10x^5)/2x^3

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Solution for (4x^7-10x^5)/2x^3 equation:


x in (-oo:+oo)

x^3*((4*x^7-(10*x^5))/2) = 0

x^3*((4*x^7-10*x^5)/2) = 0

(x^3*(4*x^7-10*x^5))/2 = 0

4*x^7-10*x^5 = 0

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

2*x^2 = 5 // : 2

x^2 = 5/2

x^2 = 5/2 // ^ 1/2

abs(x) = (5/2)^(1/2)

x = (5/2)^(1/2) or x = -(5/2)^(1/2)

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

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

( 2*x^5 )

2*x^5 = 0 // : 2

x^5 = 0

x = 0

( x+(5/2)^(1/2) )

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

x = -(5/2)^(1/2)

( x-(5/2)^(1/2) )

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

x = (5/2)^(1/2)

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

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