First, we need to isolate the square root on the left-hand side of the equation. We can do this by squaring both sides of the equation. This gives us:
Expanding the right-hand side of the equation gives us:
Subtracting 12x^2-12x+4 from both sides of the equation gives us:
Factoring the left-hand side of the equation gives us:
This gives us two possible solutions for x:
However, the value of x=0 is not a valid solution, because it would make the square root on the left-hand side of the original equation undefined. Therefore, the only valid solution is x=2.