Answer:
To solve the equation 3x^2 - 648 = 0 by factoring, we can start by factoring out the greatest common factor, which is 3:
3(x^2 - 216) = 0
Next, we can factor the difference of squares inside the parentheses:
3(x - 6)(x + 6) = 0
Now, we can set each factor equal to zero and solve for x:
x - 6 = 0 or x + 6 = 0
Solving these equations, we find:
x = 6 or x = -6
Therefore, the solutions to the equation 3x^2 - 648 = 0 are x = 6 and x = -6.
Explanation: