-125/x+40=-2x+55

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Solution for -125/x+40=-2x+55 equation: 


D( x )

x = 0

x = 0

x = 0

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

40-125/x = 55-2*x // - 55-2*x

40-(-2*x)-125/x-55 = 0

2*x-125/x-55+40 = 0

2*x^1-125*x^-1-15*x^0 = 0

(2*x^2-15*x^1-125*x^0)/(x^1) = 0 // * x^2

x^1*(2*x^2-15*x^1-125*x^0) = 0

x^1

2*x^2-15*x-125 = 0

2*x^2-15*x-125 = 0

DELTA = (-15)^2-(-125*2*4)

DELTA = 1225

DELTA > 0

x = (1225^(1/2)+15)/(2*2) or x = (15-1225^(1/2))/(2*2)

x = 25/2 or x = -5

x in { -5, 25/2} 

x in { -5, 25/2 }

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