((x^2-25)/(10x^4))*((2x^3)/(3x+15))

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Solution for ((x^2-25)/(10x^4))*((2x^3)/(3x+15)) equation: 


D( x )

3*x+15 = 0

10*x^4 = 0

3*x+15 = 0

3*x+15 = 0

3*x+15 = 0 // - 15

3*x = -15 // : 3

x = -15/3

x = -5

10*x^4 = 0

10*x^4 = 0

10*x^4 = 0 // : 10

x^4 = 0

x = 0

x in (-oo:-5) U (-5:0) U (0:+oo)

((x^2-25)/(10*x^4))*((2*x^3)/(3*x+15)) = 0

(2*x^3*(x^2-25))/(10*x^4*(3*x+15)) = 0

( 2*x^3 )

2*x^3 = 0 // : 2

x^3 = 0

x = 0

( x^2-25 )

1*x^2 = 25 // : 1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

x in { 0} 

x in { -5} 

x = 5

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