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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

3*x^-1-7/5*x^1-2/3*x^0 = 0

(3*x^0-7/5*x^2-2/3*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-7/5*x^2-2/3*x^1) = 0

x^1

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

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

DELTA = (-2/3)^2-(3*4*(-7/5))

DELTA = 776/45

DELTA > 0

x = ((776/45)^(1/2)-(-2/3))/(2*(-7/5)) or x = (-(-2/3)-(776/45)^(1/2))/(2*(-7/5))

x = -5/14*((776/45)^(1/2)+2/3) or x = -5/14*(2/3-(776/45)^(1/2))

x in { -5/14*((776/45)^(1/2)+2/3), -5/14*(2/3-(776/45)^(1/2))}

x in { -5/14*((776/45)^(1/2)+2/3), -5/14*(2/3-(776/45)^(1/2)) }

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