(2x^2-2x-4)/(6x-12)=0

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Solution for (2x^2-2x-4)/(6x-12)=0 equation: 


D( x )

6*x-12 = 0

6*x-12 = 0

6*x-12 = 0

6*x-12 = 0 // + 12

6*x = 12 // : 6

x = 12/6

x = 2

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

(2*x^2-(2*x)-4)/(6*x-12) = 0

(2*x^2-2*x-4)/(6*x-12) = 0

2*x^2-2*x-4 = 0

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

x^2-x-2 = 0

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

DELTA = 9

DELTA > 0

x = (9^(1/2)+1)/(1*2) or x = (1-9^(1/2))/(1*2)

x = 2 or x = -1

2*(x+1)*(x-2) = 0

(2*(x+1)*(x-2))/(6*x-12) = 0

( x+1 )

x+1 = 0 // - 1

x = -1

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 2} 

x = -1

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