(24x^5)/(3x^2-2x^3)

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Solution for (24x^5)/(3x^2-2x^3) equation:


D( x )

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

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

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

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

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

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

3-2*x = 0 // - 3

-2*x = -3 // : -2

x = -3/(-2)

x = 3/2

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:3/2) U (3/2:+oo)

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

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

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

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

3-2*x = 0 // - 3

-2*x = -3 // : -2

x = -3/(-2)

x = 3/2

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

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

24*x^5 = 0 // : 24

x^5 = 0

x = 0

x in { 0}

x belongs to the empty set

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