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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 4

DELTA > 0

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

x = -2/3 or x = -2

x in { -2, -2/3} 

x in { -2, -2/3 }

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