6x/x+2-6=x-32/x-2

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Solution for 6x/x+2-6=x-32/x-2 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

(6*x)/x-6+2 = x-(32/x)-2 // - x-(32/x)-2

32/x-x+(6*x)/x-6+2+2 = 0

32*x^-1-1*x^1+4*x^0 = 0

(4*x^1-1*x^2+32*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^1-1*x^2+32*x^0) = 0

x^1

4*x-x^2+32 = 0

4*x-x^2+32 = 0

DELTA = 4^2-(-1*4*32)

DELTA = 144

DELTA > 0

x = (144^(1/2)-4)/(-1*2) or x = (-144^(1/2)-4)/(-1*2)

x = -4 or x = 8

x in { -4, 8} 

x in { -4, 8 }

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