282.05=x/(0.04-x)(0.001-x)

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Solution for 282.05=x/(0.04-x)(0.001-x) equation: 


D( x )

0.04-x = 0

0.04-x = 0

0.04-x = 0

0.04-x = 0 // - 0.04

-x = -0.04 // * -1

x = 0.04

x in (-oo:0.04) U (0.04:+oo)

282.05 = (x/(0.04-x))*(0.001-x) // - (x/(0.04-x))*(0.001-x)

282.05-((x/(0.04-x))*(0.001-x)) = 0

(-1*x*(0.001-x))/(0.04-x)+282.05 = 0

(-1*x*(0.001-x))/(0.04-x)+(282.05*(0.04-x))/(0.04-x) = 0

282.05*(0.04-x)-1*x*(0.001-x) = 0

x^2-282.051*x+11.282 = 0

x^2-282.051*x+11.282 = 0

x^2-282.051*x+11.282 = 0

DELTA = (-282.051)^2-(1*4*11.282)

DELTA = 282.051^2-45.128

DELTA = 79507.638601

DELTA > 0

x = ((282.051^2-45.128)^(1/2)+282.051)/(1*2) or x = (282.051-(282.051^2-45.128)^(1/2))/(1*2)

x = ((282.051^2-45.128)^(1/2)+282.051)/2 or x = (282.051-(282.051^2-45.128)^(1/2))/2

(x-((282.051-(282.051^2-45.128)^(1/2))/2))*(x-(((282.051^2-45.128)^(1/2)+282.051)/2)) = 0

((x-((282.051-(282.051^2-45.128)^(1/2))/2))*(x-(((282.051^2-45.128)^(1/2)+282.051)/2)))/(0.04-x) = 0

((x-((282.051-(282.051^2-45.128)^(1/2))/2))*(x-(((282.051^2-45.128)^(1/2)+282.051)/2)))/(0.04-x) = 0 // * 0.04-x

(x-((282.051-(282.051^2-45.128)^(1/2))/2))*(x-(((282.051^2-45.128)^(1/2)+282.051)/2)) = 0

( x-(((282.051^2-45.128)^(1/2)+282.051)/2) )

x-(((282.051^2-45.128)^(1/2)+282.051)/2) = 0 // + ((282.051^2-45.128)^(1/2)+282.051)/2

x = ((282.051^2-45.128)^(1/2)+282.051)/2

( x-((282.051-(282.051^2-45.128)^(1/2))/2) )

x-((282.051-(282.051^2-45.128)^(1/2))/2) = 0 // + (282.051-(282.051^2-45.128)^(1/2))/2

x = (282.051-(282.051^2-45.128)^(1/2))/2

x in { ((282.051^2-45.128)^(1/2)+282.051)/2, (282.051-(282.051^2-45.128)^(1/2))/2 }

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