Solve this complex number

Algebra Level pending

Let Z1, Z2, Z3 be complex numbers such that |Z1|=|Z2|=|Z3|=1 and (Z1^2)/(Z2Z3)+(Z2^2)/(Z1Z3)+(Z3^2)(Z1*Z2) = -1

Then find the value of |Z1+Z2+Z3|

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