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Find the solution of the system of equat...

Find the solution of the system of equations `(a^2+lambda)x+aby+acz=lambda,abx+(b^2+lambda)y+bcz=lambda,(b^2+lambda)y+b c z=lambda, a c x+b c y+(c^2+lambda)z=lambda` where `a+b+c=0, and lambda != 0`

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