(1/2x^2-1/3y)(1/2x^2+1/3y)+(3/4x^2-2/3y)^2-1/3y^2+x^2y

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Solution for (1/2x^2-1/3y)(1/2x^2+1/3y)+(3/4x^2-2/3y)^2-1/3y^2+x^2y equation:


x in (-oo:+oo)

((1/2)*x^2-((1/3)*y))*((1/2)*x^2+(1/3)*y)+((3/4)*x^2-((2/3)*y))^2-((1/3)*y^2)+x^2*y = 0

((1/2)*x^2+(-1/3)*y)*((1/2)*x^2+(1/3)*y)+((3/4)*x^2+(-2/3)*y)^2+(-1/3)*y^2+x^2*y = 0

(1/2*x^2-1/3*y)*(1/2*x^2+1/3*y)+(3/4*x^2-2/3*y)^2+(-y^2)/3+x^2*y = 0

(3*(1/2*x^2-1/3*y)*(1/2*x^2+1/3*y))/3+(3*(3/4*x^2-2/3*y)^2)/3+(-y^2)/3+(3*x^2*y)/3 = 0

3*(1/2*x^2-1/3*y)*(1/2*x^2+1/3*y)+3*(3/4*x^2-2/3*y)^2-y^2+3*x^2*y = 0

39/16*x^4-3*x^2*y+y^2-y^2+3*x^2*y = 0

39/16*x^4-3*x^2*y+3*x^2*y = 0

39/16*x^4 = 0

(39/16*x^4)/3 = 0

(39/16*x^4)/3 = 0 // * 3

(39*x^4)/16 = 0

39/16*x^4 = 0 // : 39/16

x^4 = 0

x = 0

x = 0

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