3/x=(-6/3x)-7

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Solution for 3/x=(-6/3x)-7 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

2*x+3/x+7 = 0

2*x^1+3*x^-1+7*x^0 = 0

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

x^1*(2*x^2+7*x^1+3*x^0) = 0

x^1

2*x^2+7*x+3 = 0

2*x^2+7*x+3 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-7)/(2*2) or x = (-25^(1/2)-7)/(2*2)

x = -1/2 or x = -3

x in { -3, -1/2} 

x in { -3, -1/2 }

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