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

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


x in (-oo:+oo)

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

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

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

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

DELTA = (3/2)^2-(-1/5*1*4)

DELTA = 61/20

DELTA > 0

x = ((61/20)^(1/2)-3/2)/(-1/5*2) or x = (-(61/20)^(1/2)-3/2)/(-1/5*2)

x = -5/2*((61/20)^(1/2)-3/2) or x = 5/2*((61/20)^(1/2)+3/2)

x in { -5/2*((61/20)^(1/2)-3/2), 5/2*((61/20)^(1/2)+3/2) }

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