What is the solution set of 6x² – 24 = 0?

To solve the equation 6x² – 24 = 0, we first want to isolate the x² term. We can do this by adding 24 to both sides of the equation:

6x² = 24

Next, we divide both sides by 6 to get x² by itself:

x² = 4

Now, we take the square root of both sides. Remember that taking the square root of a number gives us both a positive and negative solution:

x = ±√4

This simplifies to:

x = ±2

So, the solution set for the equation 6x² – 24 = 0 is { -2, 2 }.