2x^3/2y^-3/2z^3/4-5x^1/2y^-5/2z^7/4

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Solution for 2x^3/2y^-3/2z^3/4-5x^1/2y^-5/2z^7/4 equation:


x in (-oo:+oo)

(((((2*x^3)/2)*y^-3)/2)*z^3)/4-((((((5*x^1)/2)*y^-5)/2)*z^7)/4) = 0

(-5/16)*x*y^-5*z^7+(((((2*x^3)/2)*y^-3)/2)*z^3)/4 = 0

1/8*x^3*y^-3*z^3-5/16*x*y^-5*z^7 = 0

1/8*x*y^-3*z^3*(x^2-5/2*y^-2*z^4) = 0

1*x^2 = -(-5/2*y^-2*z^4) // : 1

x^2 = 5/2*y^-2*z^4

x^2 = 5/2*y^-2*z^4 // ^ 1/2

abs(x) = (5/2)^(1/2)*y^-1*z^2

x = (5/2)^(1/2)*y^-1*z^2 or x = -((5/2)^(1/2)*y^-1*z^2)

(x*z^3)/(8*y^3) = 0

1/8*x*y^-3*z^3 = 0 // : 1/8*y^-3*z^3

x = 0

x in { (5/2)^(1/2)*y^-1*z^2, -((5/2)^(1/2)*y^-1*z^2), 0 }

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