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

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Solution for ((4x)/(x^2-9))-((4x^3)/(x^2-9)^2)=0 equation:


D( x )

(x^2-9)^2 = 0

x^2-9 = 0

(x^2-9)^2 = 0

(x^2-9)^2 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x^2-9 = 0

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x in (-oo:-3) U (-3:3) U (3:+oo)

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

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

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

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

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

-36*x = 0

(-36*x)/((x^2-9)^2) = 0

(-36*x)/((x^2-9)^2) = 0 // * (x^2-9)^2

-36*x = 0

-36*x = 0 // : -36

x = 0

x = 0

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