2x+1.41=(2-1.41-2x)/(2x+1.41)

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Solution for 2x+1.41=(2-1.41-2x)/(2x+1.41) equation: 


D( x )

2*x+1.41 = 0

2*x+1.41 = 0

2*x+1.41 = 0

2*x+1.41 = 0 // - 1.41

2*x = -1.41 // : 2

x = -1.41/2

x = -0.705

x in (-oo:-0.705) U (-0.705:+oo)

2*x+1.41 = (2-(2*x)-1.41)/(2*x+1.41) // - (2-(2*x)-1.41)/(2*x+1.41)

2*x-((2-(2*x)-1.41)/(2*x+1.41))+1.41 = 0

2*x-((2-2*x-1.41)/(2*x+1.41))+1.41 = 0

(-1*(0.59-2*x))/(2*x+1.41)+2*x+1.41 = 0

(-1*(0.59-2*x))/(2*x+1.41)+(2*x*(2*x+1.41))/(2*x+1.41)+(1.41*(2*x+1.41))/(2*x+1.41) = 0

2*x*(2*x+1.41)-1*(0.59-2*x)+1.41*(2*x+1.41) = 0

4*x^2+4.82*x+2.82*x-0.59+1.9881 = 0

4*x^2+7.64*x+1.3981 = 0

4*x^2+7.64*x+1.3981 = 0

4*x^2+7.64*x+1.3981 = 0

DELTA = 7.64^2-(1.3981*4*4)

DELTA = 7.64^2-22.3696

DELTA = 36

DELTA > 0

x = ((7.64^2-22.3696)^(1/2)-7.64)/(2*4) or x = (-(7.64^2-22.3696)^(1/2)-7.64)/(2*4)

x = -0.205 or x = -1.705

(x+1.705)*(x+0.205) = 0

((x+1.705)*(x+0.205))/(2*x+1.41) = 0

((x+1.705)*(x+0.205))/(2*x+1.41) = 0 // * 2*x+1.41

(x+1.705)*(x+0.205) = 0

( x+0.205 )

x+0.205 = 0 // - 0.205

x = -0.205

( x+1.705 )

x+1.705 = 0 // - 1.705

x = -1.705

x in { -0.205, -1.705 }

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