(x^2/15+5x)(9-x^2/x)

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Solution for (x^2/15+5x)(9-x^2/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

((x^2)/15+5*x)*(9-((x^2)/x)) = 0

((x^2)/15+5*x)*(9-x) = 0

(1/15*x^2+5*x)*(9-x) = 0

1/15*x^2+5*x = 0

x*(1/15*x+5) = 0

1/15*x+5 = 0 // - 5

1/15*x = -5 // : 1/15

x = -5/1/15

x = -75

x*(x+75) = 0

x*(x+75)*(9-x) = 0

( 9-x )

9-x = 0 // - 9

-x = -9 // * -1

x = 9

( x+75 )

x+75 = 0 // - 75

x = -75

( x )

x = 0

x in { 0} 

x in { 9, -75 }

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