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

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


D( x )

x = 0

5-(5*x) = 0

x = 0

x = 0

5-(5*x) = 0

5-(5*x) = 0

5-5*x = 0

5-5*x = 0 // - 5

-5*x = -5 // : -5

x = -5/(-5)

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

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

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

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

x^2-x = 0

x*(x-1) = 0

x-1 = 0 // + 1

x = 1

x*(x-1) = 0

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

( 5*x-15 )

5*x-15 = 0 // + 15

5*x = 15 // : 5

x = 15/5

x = 3

( x-1 )

x-1 = 0 // + 1

x = 1

x in { 1} 

x = 3

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