8/x+12=2x+6

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Solution for 8/x+12=2x+6 equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x+12 = 2*x+6 // - 2*x+6

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

8/x-2*x-6+12 = 0

8*x^-1-2*x^1+6*x^0 = 0

(6*x^1-2*x^2+8*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^1-2*x^2+8*x^0) = 0

x^1

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

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

DELTA = 6^2-(-2*4*8)

DELTA = 100

DELTA > 0

x = (100^(1/2)-6)/(-2*2) or x = (-100^(1/2)-6)/(-2*2)

x = -1 or x = 4

x in { -1, 4} 

x in { -1, 4 }

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