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Find the real points (x,y) satisfying 3x...

Find the real points `(x,y)` satisfying `3x^2-3y^2-4xy+10x-10y+10=0`

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The number of solutions (x, y) where x and y are integers, satisfying 2x^(2) + 3y^(2) + 2x + 3y=10 is: