(1-(4/x+3))/(1+(2/x-3))

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Solution for (1-(4/x+3))/(1+(2/x-3)) equation: 


D( x )

x = 0

2/x-3+1 = 0

x = 0

x = 0

2/x-3+1 = 0

2/x-3+1 = 0

2*x^-1 = 2 // : 2

x^-1 = 1

-1 < 0

1/(x^1) = 1 // * x^1

1 = 1*x^1 // : 1

1 = x^1

x = 1

x in (-oo:0) U (0:1) U (1:+oo)

(1-(4/x)-3)/(2/x-3+1) = 0

(1-4*x^-1-3)/(2/x-3+1) = 0

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

-4*x^-1 = 2 // : -4

x^-1 = -1/2

-1 < 0

1/(x^1) = -1/2 // * x^1

1 = -1/2*x^1 // : -1/2

-2 = x^1

x = -2

x = -2

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