What is true about the solution of StartFraction x squared Over 2 x minus 6 EndFraction = StartFraction 9 Over 6 x minus 18 EndFraction?

Answer: since you cant divide by zerothat means this fraction is not legal and its values are undefined

starting with the numerators, x^2 = 9

the square root of 9 is 3 so x = 3.

now for the denominators, 2x-6 = 6x-18

if you plug 3 in you get 2 (3) - 6=6 (3) - 18

or 6-6=18-18 which is zero