(3X-2)/2X=6

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Solution for (3X-2)/2X=6 equation:


X in (-oo:+oo)

X*((3*X-2)/2) = 6 // - 6

X*((3*X-2)/2)-6 = 0

(X*(3*X-2))/2-6 = 0

(X*(3*X-2))/2+(-6*2)/2 = 0

X*(3*X-2)-6*2 = 0

3*X^2-2*X-12 = 0

3*X^2-2*X-12 = 0

3*X^2-2*X-12 = 0

DELTA = (-2)^2-(-12*3*4)

DELTA = 148

DELTA > 0

X = (148^(1/2)+2)/(2*3) or X = (2-148^(1/2))/(2*3)

X = (2*37^(1/2)+2)/6 or X = (2-2*37^(1/2))/6

(X-((2-2*37^(1/2))/6))*(X-((2*37^(1/2)+2)/6)) = 0

((X-((2-2*37^(1/2))/6))*(X-((2*37^(1/2)+2)/6)))/2 = 0

((X-((2-2*37^(1/2))/6))*(X-((2*37^(1/2)+2)/6)))/2 = 0 // * 2

(X-((2-2*37^(1/2))/6))*(X-((2*37^(1/2)+2)/6)) = 0

( X-((2*37^(1/2)+2)/6) )

X-((2*37^(1/2)+2)/6) = 0 // + (2*37^(1/2)+2)/6

X = (2*37^(1/2)+2)/6

( X-((2-2*37^(1/2))/6) )

X-((2-2*37^(1/2))/6) = 0 // + (2-2*37^(1/2))/6

X = (2-2*37^(1/2))/6

X in { (2*37^(1/2)+2)/6, (2-2*37^(1/2))/6 }

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