x/(0.3-x)(0.4-x)=5.086

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Solution for x/(0.3-x)(0.4-x)=5.086 equation: 


D( x )

0.3-x = 0

0.3-x = 0

0.3-x = 0

0.3-x = 0 // - 0.3

-x = -0.3 // * -1

x = 0.3

x in (-oo:0.3) U (0.3:+oo)

(x/(0.3-x))*(0.4-x) = 5.086 // - 5.086

(x/(0.3-x))*(0.4-x)-5.086 = 0

(x*(0.4-x))/(0.3-x)-5.086 = 0

(x*(0.4-x))/(0.3-x)+(-5.086*(0.3-x))/(0.3-x) = 0

x*(0.4-x)-5.086*(0.3-x) = 0

5.486*x-x^2-1.5258 = 0

5.486*x-x^2-1.5258 = 0

5.486*x-x^2-1.5258 = 0

DELTA = 5.486^2-(-1.5258*(-1)*4)

DELTA = 5.486^2-6.1032

DELTA = 23.992996

DELTA > 0

x = ((5.486^2-6.1032)^(1/2)-5.486)/(-1*2) or x = (-(5.486^2-6.1032)^(1/2)-5.486)/(-1*2)

x = ((5.486^2-6.1032)^(1/2)-5.486)/(-2) or x = ((5.486^2-6.1032)^(1/2)+5.486)/2

(x-(((5.486^2-6.1032)^(1/2)-5.486)/(-2)))*(x-(((5.486^2-6.1032)^(1/2)+5.486)/2)) = 0

((x-(((5.486^2-6.1032)^(1/2)-5.486)/(-2)))*(x-(((5.486^2-6.1032)^(1/2)+5.486)/2)))/(0.3-x) = 0

((x-(((5.486^2-6.1032)^(1/2)-5.486)/(-2)))*(x-(((5.486^2-6.1032)^(1/2)+5.486)/2)))/(0.3-x) = 0 // * 0.3-x

(x-(((5.486^2-6.1032)^(1/2)-5.486)/(-2)))*(x-(((5.486^2-6.1032)^(1/2)+5.486)/2)) = 0

( x-(((5.486^2-6.1032)^(1/2)+5.486)/2) )

x-(((5.486^2-6.1032)^(1/2)+5.486)/2) = 0 // + ((5.486^2-6.1032)^(1/2)+5.486)/2

x = ((5.486^2-6.1032)^(1/2)+5.486)/2

( x-(((5.486^2-6.1032)^(1/2)-5.486)/(-2)) )

x-(((5.486^2-6.1032)^(1/2)-5.486)/(-2)) = 0 // + ((5.486^2-6.1032)^(1/2)-5.486)/(-2)

x = ((5.486^2-6.1032)^(1/2)-5.486)/(-2)

x in { ((5.486^2-6.1032)^(1/2)+5.486)/2, ((5.486^2-6.1032)^(1/2)-5.486)/(-2) }

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