There are three solutions to that equation.
The only one you care about is: x = 7 .
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7 x 7 x 7 = 343
(xy - 7)(x^2y^2 + 7xy + 49)
7 cubed is equal to 343 or (3 x 100) + (4 x 10) + (3 x 1)
7 x 49 = 343
7 x 7 x 7 = 343 12 x 12 x 12 = 1,728 7/12 x 7/12 x 7/12 = 343/1,728