((x)/(x-6))=((7)/(x-4))

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Solution for ((x)/(x-6))=((7)/(x-4)) equation: 


D( x )

x-6 = 0

x-4 = 0

x-6 = 0

x-6 = 0

x-6 = 0 // + 6

x = 6

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:4) U (4:6) U (6:+oo)

x/(x-6) = 7/(x-4) // - 7/(x-4)

x/(x-6)-(7/(x-4)) = 0

x/(x-6)-7*(x-4)^-1 = 0

x/(x-6)-7/(x-4) = 0

(x*(x-4))/((x-6)*(x-4))+(-7*(x-6))/((x-6)*(x-4)) = 0

x*(x-4)-7*(x-6) = 0

x^2-11*x+42 = 0

x^2-11*x+42 = 0

x^2-11*x+42 = 0

DELTA = (-11)^2-(1*4*42)

DELTA = -47

DELTA < 0

1 = 0

1/((x-6)*(x-4)) = 0

1/((x-6)*(x-4)) = 0 // * (x-6)*(x-4)

1 = 0

x belongs to the empty set

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