3x/4x-2-2x/6x-3=5/2x-1

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Solution for 3x/4x-2-2x/6x-3=5/2x-1 equation: 


x in (-oo:+oo)

((3*x)/4)*x-(((2*x)/6)*x)-3-2 = (5/2)*x-1 // - (5/2)*x-1

((3*x)/4)*x-(((2*x)/6)*x)-((5/2)*x)-3-2+1 = 0

((3*x)/4)*x+(-1/3)*x^2+(-5/2)*x-3-2+1 = 0

5/12*x^2-5/2*x-4 = 0

DELTA = (-5/2)^2-(-4*5/12*4)

DELTA = 155/12

DELTA > 0

x = ((155/12)^(1/2)+5/2)/(5/12*2) or x = (5/2-(155/12)^(1/2))/(5/12*2)

x = 6/5*((155/12)^(1/2)+5/2) or x = 6/5*(5/2-(155/12)^(1/2))

x in { 6/5*(5/2-(155/12)^(1/2)), 6/5*((155/12)^(1/2)+5/2) }

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