To solve the equation x^3 + 8x^2 + 12x = 0, you can factor out an x from each term:
x(x^2 + 8x + 12) = 0
Then, you can solve for x by setting each factor equal to zero:
x = 0 or x^2 + 8x + 12 = 0
For the quadratic equation x^2 + 8x + 12 = 0, you can either factor it or use the quadratic formula to find the solutions.