The error comes when one equates
(xβ7)βΒ²= (25β3x)Β²
When squared, these are equal for x=79/9. But
(xβ7)β = β΄/β for x=79/9 and
25β3x = ββ΄/β for x=79/9
So, they are not in fact equal. 79/9 is a bogus root that comes about. 25β3x is negative, so it cannot be the square root of a real number.