6x-19=-21/(x-1)

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Solution for 6x-19=-21/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

6*x-19 = -21/(x-1) // + -21/(x-1)

6*x-(-21/(x-1))-19 = 0

21*(x-1)^-1+6*x-19 = 0

21/(x-1)+6*x-19 = 0

21/(x-1)+(6*x*(x-1))/(x-1)+(-19*(x-1))/(x-1) = 0

6*x*(x-1)-19*(x-1)+21 = 0

6*x^2-6*x-19*x+19+21 = 0

6*x^2-25*x+40 = 0

6*x^2-25*x+40 = 0

6*x^2-25*x+40 = 0

DELTA = (-25)^2-(4*6*40)

DELTA = -335

DELTA < 0

1 = 0

1/(x-1) = 0

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

1 = 0

x belongs to the empty set

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