2/x=7/8x+3

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Solution for 2/x=7/8x+3 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x = (7/8)*x+3 // - (7/8)*x+3

2/x-((7/8)*x)-3 = 0

(-7/8)*x+2/x-3 = 0

2*x^-1-7/8*x^1-3*x^0 = 0

(2*x^0-7/8*x^2-3*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-7/8*x^2-3*x^1) = 0

x^1

(-7/8)*x^2-3*x+2 = 0

(-7/8)*x^2-3*x+2 = 0

DELTA = (-3)^2-(2*4*(-7/8))

DELTA = 16

DELTA > 0

x = (16^(1/2)+3)/(2*(-7/8)) or x = (3-16^(1/2))/(2*(-7/8))

x = -4 or x = 4/7

x in { -4, 4/7} 

x in { -4, 4/7 }

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