3/x-1=4/3x+2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 25

DELTA > 0

x = (25^(1/2)+3)/(2*(-4/3)) or x = (3-25^(1/2))/(2*(-4/3))

x = -3 or x = 3/4

x in { -3, 3/4} 

x in { -3, 3/4 }

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