6/x+3=4/3x-7

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Solution for 6/x+3=4/3x-7 equation:


D( x )

x = 0

x = 0

x = 0

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

6/x+3 = (4/3)*x-7 // - (4/3)*x-7

6/x-((4/3)*x)+3+7 = 0

(-4/3)*x+6/x+3+7 = 0

6*x^-1-4/3*x^1+10*x^0 = 0

(10*x^1-4/3*x^2+6*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^1-4/3*x^2+6*x^0) = 0

x^1

(-4/3)*x^2+10*x+6 = 0

(-4/3)*x^2+10*x+6 = 0

DELTA = 10^2-(4*6*(-4/3))

DELTA = 132

DELTA > 0

x = (132^(1/2)-10)/(2*(-4/3)) or x = (-132^(1/2)-10)/(2*(-4/3))

x = -3/8*(2*33^(1/2)-10) or x = -3/8*(-2*33^(1/2)-10)

x in { -3/8*(2*33^(1/2)-10), -3/8*(-2*33^(1/2)-10)}

x in { -3/8*(2*33^(1/2)-10), -3/8*(-2*33^(1/2)-10) }

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