(6x^2+4x-16)/(2x-2)

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Solution for (6x^2+4x-16)/(2x-2) equation: 


D( x )

2*x-2 = 0

2*x-2 = 0

2*x-2 = 0

2*x-2 = 0 // + 2

2*x = 2 // : 2

x = 2/2

x = 1

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

(6*x^2+4*x-16)/(2*x-2) = 0

6*x^2+4*x-16 = 0

2*(3*x^2+2*x-8) = 0

3*x^2+2*x-8 = 0

DELTA = 2^2-(-8*3*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)-2)/(2*3) or x = (-100^(1/2)-2)/(2*3)

x = 4/3 or x = -2

2*(x+2)*(x-4/3) = 0

(2*(x+2)*(x-4/3))/(2*x-2) = 0

( x+2 )

x+2 = 0 // - 2

x = -2

( x-4/3 )

x-4/3 = 0 // + 4/3

x = 4/3

x in { -2, 4/3 }

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