x/(0.30-x)(0.40-x)=1

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Solution for x/(0.30-x)(0.40-x)=1 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) = 1 // - 1

(x/(0.3-x))*(0.4-x)-1 = 0

(x*(0.4-x))/(0.3-x)-1 = 0

(x*(0.4-x))/(0.3-x)+(-1*(0.3-x))/(0.3-x) = 0

x*(0.4-x)-1*(0.3-x) = 0

1.4*x-x^2-0.3 = 0

1.4*x-x^2-0.3 = 0

1.4*x-x^2-0.3 = 0

DELTA = 1.4^2-(-1*(-0.3)*4)

DELTA = 1.4^2-1.2

DELTA = 0.76

DELTA > 0

x = ((1.4^2-1.2)^(1/2)-1.4)/(-1*2) or x = (-(1.4^2-1.2)^(1/2)-1.4)/(-1*2)

x = ((1.4^2-1.2)^(1/2)-1.4)/(-2) or x = ((1.4^2-1.2)^(1/2)+1.4)/2

(x-(((1.4^2-1.2)^(1/2)-1.4)/(-2)))*(x-(((1.4^2-1.2)^(1/2)+1.4)/2)) = 0

((x-(((1.4^2-1.2)^(1/2)-1.4)/(-2)))*(x-(((1.4^2-1.2)^(1/2)+1.4)/2)))/(0.3-x) = 0

((x-(((1.4^2-1.2)^(1/2)-1.4)/(-2)))*(x-(((1.4^2-1.2)^(1/2)+1.4)/2)))/(0.3-x) = 0 // * 0.3-x

(x-(((1.4^2-1.2)^(1/2)-1.4)/(-2)))*(x-(((1.4^2-1.2)^(1/2)+1.4)/2)) = 0

( x-(((1.4^2-1.2)^(1/2)+1.4)/2) )

x-(((1.4^2-1.2)^(1/2)+1.4)/2) = 0 // + ((1.4^2-1.2)^(1/2)+1.4)/2

x = ((1.4^2-1.2)^(1/2)+1.4)/2

( x-(((1.4^2-1.2)^(1/2)-1.4)/(-2)) )

x-(((1.4^2-1.2)^(1/2)-1.4)/(-2)) = 0 // + ((1.4^2-1.2)^(1/2)-1.4)/(-2)

x = ((1.4^2-1.2)^(1/2)-1.4)/(-2)

x in { ((1.4^2-1.2)^(1/2)+1.4)/2, ((1.4^2-1.2)^(1/2)-1.4)/(-2) }

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