algebra

x1/4+1-x1/6=1

x1/4 - x1/6= 0 subtract 1 from each side to isolate x

x(1/4 - 1/6) = 0 factor out the common factor ( the x ) again to isolate x

x(2/24) = 0 simplify the parenthesis

x(2/24) = 0 when x = 0 by the zero product property