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

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Solution for ((4-x)^2/(5-x))/((2-x)/5x) equation: 


D( x )

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

5-x = 0

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

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

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

( 2-x )

2-x = 0 // - 2

-x = -2 // * -1

x = 2

( x )

x = 0

5-x = 0

5-x = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

x in (-oo:0) U (0:2) U (2:5) U (5:+oo)

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

(5*(4-x)^2)/(x*(5-x)*(2-x)) = 0

( 4-x )

4-x = 0 // - 4

-x = -4 // * -1

x = 4

( 5 )

5 = 0

x belongs to the empty set

x in { 4, 4 }

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