(6x^2-x-7)/(3x-2)

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Solution for (6x^2-x-7)/(3x-2) equation: 


D( x )

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0

3*x-2 = 0 // + 2

3*x = 2 // : 3

x = 2/3

x in (-oo:2/3) U (2/3:+oo)

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

6*x^2-x-7 = 0

6*x^2-x-7 = 0

DELTA = (-1)^2-(-7*4*6)

DELTA = 169

DELTA > 0

x = (169^(1/2)+1)/(2*6) or x = (1-169^(1/2))/(2*6)

x = 7/6 or x = -1

(x+1)*(x-7/6) = 0

((x+1)*(x-7/6))/(3*x-2) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-7/6 )

x-7/6 = 0 // + 7/6

x = 7/6

x in { -1, 7/6 }

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