3/2x-1+4=6x/2x-1

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Solution for 3/2x-1+4=6x/2x-1 equation: 


x in (-oo:+oo)

(3/2)*x-1+4 = ((6*x)/2)*x-1 // - ((6*x)/2)*x-1

(3/2)*x-(((6*x)/2)*x)-1+1+4 = 0

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

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

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

DELTA = 201/4

DELTA > 0

x = ((201/4)^(1/2)-3/2)/(-3*2) or x = (-(201/4)^(1/2)-3/2)/(-3*2)

x = ((201/4)^(1/2)-3/2)/(-6) or x = ((201/4)^(1/2)+3/2)/6

x in { ((201/4)^(1/2)-3/2)/(-6), ((201/4)^(1/2)+3/2)/6 }

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