3/x-3=5/2x-7

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Solution for 3/x-3=5/2x-7 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3/x-3 = (5/2)*x-7 // - (5/2)*x-7

3/x-((5/2)*x)-3+7 = 0

(-5/2)*x+3/x-3+7 = 0

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

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

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

x^1

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

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

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

DELTA = 46

DELTA > 0

x = (46^(1/2)-4)/(2*(-5/2)) or x = (-46^(1/2)-4)/(2*(-5/2))

x = (46^(1/2)-4)/(-5) or x = (46^(1/2)+4)/5

x in { (46^(1/2)-4)/(-5), (46^(1/2)+4)/5} 

x in { (46^(1/2)-4)/(-5), (46^(1/2)+4)/5 }

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