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

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


D( x )

x = 0

x = 0

x = 0

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

(1/2)*(x+3)-((3/2)*x) = 1/x+3 // - 1/x+3

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

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

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

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

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

3*x-2*x^2-6*x-2 = 0

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

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

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

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

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

DELTA = -7

DELTA < 0

-1 = 0

-1/(2*x) = 0

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

-1 = 0

x belongs to the empty set

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