2400/x=300-6x

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Solution for 2400/x=300-6x equation: 


D( x )

x = 0

x = 0

x = 0

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

2400/x = 300-(6*x) // - 300-(6*x)

6*x+2400/x-300 = 0

6*x^1+2400*x^-1-300*x^0 = 0

(6*x^2-300*x^1+2400*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-300*x^1+2400*x^0) = 0

x^1

6*x^2-300*x+2400 = 0

6*x^2-300*x+2400 = 0

DELTA = (-300)^2-(4*6*2400)

DELTA = 32400

DELTA > 0

x = (32400^(1/2)+300)/(2*6) or x = (300-32400^(1/2))/(2*6)

x = 40 or x = 10

x in { 10, 40} 

x in { 10, 40 }

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