3x/2x-1=x

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


x in (-oo:+oo)

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

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

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

DELTA = (-1)^2-(-1*3/2*4)

DELTA = 7

DELTA > 0

x = (7^(1/2)+1)/(3/2*2) or x = (1-7^(1/2))/(3/2*2)

x = (7^(1/2)+1)/3 or x = (1-7^(1/2))/3

x in { (1-7^(1/2))/3, (7^(1/2)+1)/3 }

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