(-4/x)=(2/3x)-6

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Solution for (-4/x)=(2/3x)-6 equation:


D( x )

x = 0

x = 0

x = 0

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

-4/x = (2/3)*x-6 // - (2/3)*x-6

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

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

6*x^0-2/3*x^1-4*x^-1 = 0

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

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

x^1

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

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

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

DELTA = 76/3

DELTA > 0

x = ((76/3)^(1/2)-6)/(2*(-2/3)) or x = (-(76/3)^(1/2)-6)/(2*(-2/3))

x = -3/4*((76/3)^(1/2)-6) or x = 3/4*((76/3)^(1/2)+6)

x in { -3/4*((76/3)^(1/2)-6), 3/4*((76/3)^(1/2)+6)}

x in { -3/4*((76/3)^(1/2)-6), 3/4*((76/3)^(1/2)+6) }

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