-0.4=(100-X)*1.5/0.5*X

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Solution for -0.4=(100-X)*1.5/0.5*X equation:


X in (-oo:+oo)

-0.4 = X*((1.5*(100-X))/0.5) // - X*((1.5*(100-X))/0.5)

-(X*((1.5*(100-X))/0.5))-0.4 = 0

-3*X*(100-X)-0.4 = 0

-3*X*(100-X)-0.4 = 0

3*X^2-300*X-0.4 = 0

3*X^2-300*X-0.4 = 0

3*X^2-300*X-0.4 = 0

DELTA = (-300)^2-(-0.4*3*4)

DELTA = 90004.8

DELTA > 0

X = (90004.8^(1/2)+300)/(2*3) or X = (300-90004.8^(1/2))/(2*3)

X = (90004.8^(1/2)+300)/6 or X = (300-90004.8^(1/2))/6

(X-((300-90004.8^(1/2))/6))*(X-((90004.8^(1/2)+300)/6)) = 0

(X-((300-90004.8^(1/2))/6))*(X-((90004.8^(1/2)+300)/6)) = 0

( X-((300-90004.8^(1/2))/6) )

X-((300-90004.8^(1/2))/6) = 0 // + (300-90004.8^(1/2))/6

X = (300-90004.8^(1/2))/6

( X-((90004.8^(1/2)+300)/6) )

X-((90004.8^(1/2)+300)/6) = 0 // + (90004.8^(1/2)+300)/6

X = (90004.8^(1/2)+300)/6

X in { (300-90004.8^(1/2))/6, (90004.8^(1/2)+300)/6 }

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