((9-(x^2))/3x)/((6+2x)/5x^3)

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Solution for ((9-(x^2))/3x)/((6+2x)/5x^3) equation: 


D( x )

x^3*((2*x+6)/5) = 0

x^3*((2*x+6)/5) = 0

x^3*((2*x+6)/5) = 0

(x^3*(2*x+6))/5 = 0

( 2*x+6 )

2*x+6 = 0 // - 6

2*x = -6 // : 2

x = -6/2

x = -3

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

(x*((9-x^2)/3))/(x^3*((2*x+6)/5)) = 0

(5*x*(9-x^2))/(3*x^3*(2*x+6)) = 0

( 9-x^2 )

-1*x^2 = -9 // : -1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

( x )

x = 0

x in { -3} 

x in { 0} 

x = 3

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