((4x)/(x-4))-(4/(x-2))

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


D( x )

x-2 = 0

x-4 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:2) U (2:4) U (4:+oo)

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

(4*x)/(x-4)-4*(x-2)^-1 = 0

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

(4*x*(x-2))/((x-4)*(x-2))+(-4*(x-4))/((x-4)*(x-2)) = 0

4*x*(x-2)-4*(x-4) = 0

4*x^2-12*x+16 = 0

4*x^2-12*x+16 = 0

4*(x^2-3*x+4) = 0

x^2-3*x+4 = 0

DELTA = (-3)^2-(1*4*4)

DELTA = -7

DELTA < 0

4 = 0

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

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

4 = 0

x belongs to the empty set

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