Expanding the left side of the equation:(х+7)(х-7) - (х-3)^2 = 53х^2 - 7х + 7х - 49 - (x^2 - 6x + 9) = 53х^2 - 49 - x^2 + 6x - 9 = 536x - 58 = 536x = 111x = 111/6x = 18.5
Therefore, the solution to the equation is x = 18.5.
Expanding the left side of the equation:
(х+7)(х-7) - (х-3)^2 = 53
х^2 - 7х + 7х - 49 - (x^2 - 6x + 9) = 53
х^2 - 49 - x^2 + 6x - 9 = 53
6x - 58 = 53
6x = 111
x = 111/6
x = 18.5
Therefore, the solution to the equation is x = 18.5.