4/x-4=3x/4-6

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Solution for 4/x-4=3x/4-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x-4 = (3*x)/4-6 // - (3*x)/4-6

4/x-((3*x)/4)-4+6 = 0

(-3/4)*x+4/x-4+6 = 0

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

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

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

x^1

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

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

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

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(2*(-3/4)) or x = (-16^(1/2)-2)/(2*(-3/4))

x = -4/3 or x = 4

x in { -4/3, 4} 

x in { -4/3, 4 }

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