5х^2+9у^2-12ху-10х+25=0

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To simplify this expression, we can rearrange the terms to group them by their respective variables:

5x^2 - 12xy + 9y^2 - 10x + 25 = 0

Now, we can look for common factors to factorize the expression:

(5x - 3y)^2 - 10x + 25 = 0

This expression is in a partially factored form but cannot be fully simplified without knowing the exact values of x and y.