(4x+5)/6(-2x-1)/3=x

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Solution for (4x+5)/6(-2x-1)/3=x equation: 


x in (-oo:+oo)

(((4*x+5)/6)*(-2*x-1))/3 = x // - x

(((4*x+5)/6)*(-2*x-1))/3-x = 0

((4*x+5)*(-2*x-1))/(3*6)-x = 0

((4*x+5)*(-2*x-1))/(3*6)+(3*6*(-x))/(3*6) = 0

(4*x+5)*(-2*x-1)+3*6*(-x) = 0

-8*x^2-32*x-5 = 0

-8*x^2-32*x-5 = 0

-1*(8*x^2+32*x+5) = 0

8*x^2+32*x+5 = 0

DELTA = 32^2-(4*5*8)

DELTA = 864

DELTA > 0

x = (864^(1/2)-32)/(2*8) or x = (-864^(1/2)-32)/(2*8)

x = (12*6^(1/2)-32)/16 or x = (-12*6^(1/2)-32)/16

-1*(x-((-12*6^(1/2)-32)/16))*(x-((12*6^(1/2)-32)/16)) = 0

(-1*(x-((-12*6^(1/2)-32)/16))*(x-((12*6^(1/2)-32)/16)))/(3*6) = 0

(-1*(x-((-12*6^(1/2)-32)/16))*(x-((12*6^(1/2)-32)/16)))/(3*6) = 0 // * 3*6

-1*(x-((-12*6^(1/2)-32)/16))*(x-((12*6^(1/2)-32)/16)) = 0

( x-((-12*6^(1/2)-32)/16) )

x-((-12*6^(1/2)-32)/16) = 0 // + (-12*6^(1/2)-32)/16

x = (-12*6^(1/2)-32)/16

( x-((12*6^(1/2)-32)/16) )

x-((12*6^(1/2)-32)/16) = 0 // + (12*6^(1/2)-32)/16

x = (12*6^(1/2)-32)/16

x in { (-12*6^(1/2)-32)/16, (12*6^(1/2)-32)/16 }

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