Solve the Quadratic Equation: 3x^2 - 12 = 0

To solve the equation $3x^2 - 12 = 0$, follow these steps:

• Step 1: Add 12 to both sides to begin isolating $x$.
• Step 2: The equation is now $3x^2 = 12$.
• Step 3: Divide both sides by 3 to solve for $x^2$, giving us $x^2 = 4$.
• Step 4: Take the square root of both sides, keeping in mind the principle of the plus and minus roots: $x = \pm \sqrt{4}$.
• Step 5: Calculate the square root: $x = \pm 2$.

Thus, the solutions to the quadratic equation are $x_1 = 2$ and $x_2 = -2$.

Therefore, the solution to the problem is $x_1 = 2, x_2 = -2$.