6/x-7x/5=x/10

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Solution for 6/x-7x/5=x/10 equation:


D( x )

x = 0

x = 0

x = 0

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

6/x-((7*x)/5) = x/10 // - x/10

6/x-((7*x)/5)-(x/10) = 0

(-7/5)*x-(x/10)+6/x = 0

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

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

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

x^1

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

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

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

DELTA = 36

DELTA > 0

x = (36^(1/2)+0)/(2*(-3/2)) or x = (0-36^(1/2))/(2*(-3/2))

x = -2 or x = 2

x in { -2, 2}

x in { -2, 2 }

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