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x in (-oo:+oo)
x^2*((x+6)/4)+(3/2)*x^2 = x^2*((x+4)/2) // - x^2*((x+4)/2)
x^2*((x+6)/4)-(x^2*((x+4)/2))+(3/2)*x^2 = 0
(x^2*(x+6))/4+(-1*x^2*(x+4))/2+(3*x^2)/2 = 0
(2*x^2*(x+6))/(2*4)+(-1*4*x^2*(x+4))/(2*4)+(3*4*x^2)/(2*4) = 0
2*x^2*(x+6)-1*4*x^2*(x+4)+3*4*x^2 = 0
12*x^2-2*x^3-4*x^2 = 0
8*x^2-2*x^3 = 0
8*x^2-2*x^3 = 0
2*x^2*(4-x) = 0
4-x = 0 // - 4
-x = -4 // * -1
x = 4
2*x^2*(x-4) = 0
(2*x^2*(x-4))/(2*4) = 0
(2*x^2*(x-4))/(2*4) = 0 // * 2*4
2*x^2*(x-4) = 0
( 2*x^2 )
2*x^2 = 0 // : 2
x^2 = 0
x = 0
( x-4 )
x-4 = 0 // + 4
x = 4
x in { 0, 4 }
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