2/x+5-3/2x+1=5/6x+3

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Solution for 2/x+5-3/2x+1=5/6x+3 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((3/2)*x)+1+5 = (5/6)*x+3 // - (5/6)*x+3

2/x-((3/2)*x)-((5/6)*x)-3+1+5 = 0

(-3/2)*x+(-5/6)*x+2/x-3+1+5 = 0

2*x^-1-7/3*x^1+3*x^0 = 0

(3*x^1-7/3*x^2+2*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^1-7/3*x^2+2*x^0) = 0

x^1

(-7/3)*x^2+3*x+2 = 0

(-7/3)*x^2+3*x+2 = 0

DELTA = 3^2-(2*4*(-7/3))

DELTA = 83/3

DELTA > 0

x = ((83/3)^(1/2)-3)/(2*(-7/3)) or x = (-(83/3)^(1/2)-3)/(2*(-7/3))

x = -3/14*((83/3)^(1/2)-3) or x = 3/14*((83/3)^(1/2)+3)

x in { -3/14*((83/3)^(1/2)-3), 3/14*((83/3)^(1/2)+3)}

x in { -3/14*((83/3)^(1/2)-3), 3/14*((83/3)^(1/2)+3) }

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