Mathematics
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    sinx(cosx*sqrt(3)/2+sinx/2)=3/2
    sinx(cosx*sqrt(3)/2+sinx/2)=3/2
    x^(2/3)=1
    x^(2/3)=-1
    x^6+16x^5+97x^4+264x^3+247x^2-200x-425=0
    x^6+16x^5+97x^4+264x^3+247x^2-200x-425
    x^2-2115x+188046=0
    x2-2115x+188046=0
    3:x=x:2
    (x-2)(x^2+x+3)
    (x-2)(x^2+4x+8)
    x^3-2*sqrt(2)*x+5x=2
    x^2+1=sqrt(2)
    x=sqrt(2)-1
    x=sqrt(2)
    x^3+2x^2-2x+1=0
    x^3=x
    x^3+x=0
    x^3=3x
    x^3=12

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