(56x^2-8x^3)/(x^2(7-x))

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Solution for (56x^2-8x^3)/(x^2(7-x)) equation: 


D( x )

x^2*(7-x) = 0

x^2*(7-x) = 0

x^2*(7-x) = 0

( 7-x )

7-x = 0 // - 7

-x = -7 // * -1

x = 7

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:7) U (7:+oo)

(56*x^2-(8*x^3))/(x^2*(7-x)) = 0

(56*x^2-8*x^3)/(x^2*(7-x)) = 0

56*x^2-8*x^3 = 0

8*x^2*(7-x) = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

8*x^2*(x-7) = 0

(8*x^2*(x-7))/(x^2*(7-x)) = 0

( 8*x^2 )

8*x^2 = 0 // : 8

x^2 = 0

x = 0

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 0} 

x in { 7} 

x belongs to the empty set

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