2a^0(x^6y^3z^2)-1/6x^4y^1z^3

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Solution for 2a^0(x^6y^3z^2)-1/6x^4y^1z^3 equation: 


x in (-oo:+oo)

2*a^0*x^6*y^3*z^2-((1/6)*x^4*y^1*z^3) = 0

(-1/6)*x^4*y*z^3+2*x^6*y^3*z^2 = 0

2*x^6*y^3*z^2-1/6*x^4*y*z^3 = 0

x^4*y*z^2*(2*x^2*y^2-1/6*z) = 0

2*x^2*y^2 = -(-1/6*z) // : 2*y^2

x^2 = 1/12*y^-2*z

x^2 = 1/12*y^-2*z // ^ 1/2

abs(x) = (1/12)^(1/2)*y^-1*z^(1/2)

x = (1/12)^(1/2)*y^-1*z^(1/2) or x = -((1/12)^(1/2)*y^-1*z^(1/2))

x^4*y*z^2 = 0

x^4*y*z^2 = 0 // : y*z^2

x^4 = 0

x = 0

x in { (1/12)^(1/2)*y^-1*z^(1/2), -((1/12)^(1/2)*y^-1*z^(1/2)), 0 }

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