x/((1-x)(2-x))=0.66

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Solution for x/((1-x)(2-x))=0.66 equation: 


D( x )

(1-x)*(2-x) = 0

(1-x)*(2-x) = 0

(1-x)*(2-x) = 0

( 1-x )

1-x = 0 // - 1

-x = -1 // * -1

x = 1

( 2-x )

2-x = 0 // - 2

-x = -2 // * -1

x = 2

x in (-oo:1) U (1:2) U (2:+oo)

x/((1-x)*(2-x)) = 0.66 // - 0.66

x/((1-x)*(2-x))-0.66 = 0

x/((1-x)*(2-x))+(-0.66*(1-x)*(2-x))/((1-x)*(2-x)) = 0

x-0.66*(1-x)*(2-x) = 0

2.98*x-0.66*x^2-1.32 = 0

2.98*x-0.66*x^2-1.32 = 0

2.98*x-0.66*x^2-1.32 = 0

DELTA = 2.98^2-(-1.32*(-0.66)*4)

DELTA = 2.98^2-3.4848

DELTA = 5.3956

DELTA > 0

x = ((2.98^2-3.4848)^(1/2)-2.98)/(-0.66*2) or x = (-(2.98^2-3.4848)^(1/2)-2.98)/(-0.66*2)

x = -0.75757576*((2.98^2-3.4848)^(1/2)-2.98) or x = 0.75757576*((2.98^2-3.4848)^(1/2)+2.98)

(x+0.75757576*((2.98^2-3.4848)^(1/2)-2.98))*(x-0.75757576*((2.98^2-3.4848)^(1/2)+2.98)) = 0

((x+0.75757576*((2.98^2-3.4848)^(1/2)-2.98))*(x-0.75757576*((2.98^2-3.4848)^(1/2)+2.98)))/((1-x)*(2-x)) = 0

((x+0.75757576*((2.98^2-3.4848)^(1/2)-2.98))*(x-0.75757576*((2.98^2-3.4848)^(1/2)+2.98)))/((1-x)*(2-x)) = 0 // * (1-x)*(2-x)

(x+0.75757576*((2.98^2-3.4848)^(1/2)-2.98))*(x-0.75757576*((2.98^2-3.4848)^(1/2)+2.98)) = 0

( x+0.75757576*((2.98^2-3.4848)^(1/2)-2.98) )

x+0.75757576*((2.98^2-3.4848)^(1/2)-2.98) = 0 // - 0.75757576*((2.98^2-3.4848)^(1/2)-2.98)

x = -(0.75757576*((2.98^2-3.4848)^(1/2)-2.98))

x = -0.75757576*((2.98^2-3.4848)^(1/2)-2.98)

( x-0.75757576*((2.98^2-3.4848)^(1/2)+2.98) )

x-0.75757576*((2.98^2-3.4848)^(1/2)+2.98) = 0 // + -0.75757576*((2.98^2-3.4848)^(1/2)+2.98)

x = -(-0.75757576*((2.98^2-3.4848)^(1/2)+2.98))

x = 0.75757576*((2.98^2-3.4848)^(1/2)+2.98)

x in { -0.75757576*((2.98^2-3.4848)^(1/2)-2.98), 0.75757576*((2.98^2-3.4848)^(1/2)+2.98) }

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