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

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


x in (-oo:+oo)

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

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

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

2*x^3-3*x = 0

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

2*x^2 = 3 // : 2

x^2 = 3/2

x^2 = 3/2 // ^ 1/2

abs(x) = (3/2)^(1/2)

x = (3/2)^(1/2) or x = -(3/2)^(1/2)

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

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

( x+(3/2)^(1/2) )

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

x = -(3/2)^(1/2)

( x-(3/2)^(1/2) )

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

x = (3/2)^(1/2)

( x )

x = 0

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { -(3/2)^(1/2), (3/2)^(1/2), 0, 0 }

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