(6x^2-7x-5)/(3x-5)

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Solution for (6x^2-7x-5)/(3x-5) equation: 


D( x )

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0

3*x-5 = 0 // + 5

3*x = 5 // : 3

x = 5/3

x in (-oo:5/3) U (5/3:+oo)

(6*x^2-(7*x)-5)/(3*x-5) = 0

(6*x^2-7*x-5)/(3*x-5) = 0

6*x^2-7*x-5 = 0

6*x^2-7*x-5 = 0

DELTA = (-7)^2-(-5*4*6)

DELTA = 169

DELTA > 0

x = (169^(1/2)+7)/(2*6) or x = (7-169^(1/2))/(2*6)

x = 5/3 or x = -1/2

(x+1/2)*(x-5/3) = 0

((x+1/2)*(x-5/3))/(3*x-5) = 0

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x-5/3 )

x-5/3 = 0 // + 5/3

x = 5/3

x in { 5/3} 

x = -1/2

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