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

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Solution for 4/x-2/5=7/3x equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

(-7/3)*x+4/x-2/5 = 0

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

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

x^1*(4*x^0-7/3*x^2-2/5*x^1) = 0

x^1

(-7/3)*x^2+(-2/5)*x+4 = 0

(-7/3)*x^2+(-2/5)*x+4 = 0

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

DELTA = 2812/75

DELTA > 0

x = ((2812/75)^(1/2)-(-2/5))/(2*(-7/3)) or x = (-(-2/5)-(2812/75)^(1/2))/(2*(-7/3))

x = -3/14*((2812/75)^(1/2)+2/5) or x = -3/14*(2/5-(2812/75)^(1/2))

x in { -3/14*((2812/75)^(1/2)+2/5), -3/14*(2/5-(2812/75)^(1/2))}

x in { -3/14*((2812/75)^(1/2)+2/5), -3/14*(2/5-(2812/75)^(1/2)) }

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