How do you solve for x in the equation 3x² = 18?

Solving the Equation: 3x² = 18

To solve the equation 3x² = 18, follow these steps:

1. Isolate x²:

   First, we need to get x² by itself on one side of the equation. To do this, divide both sides by 3:

   x² = 18 / 3

   This simplifies to:

   x² = 6

2. Take the Square Root:

   Next, we find the value of x by taking the square root of both sides. Remember that taking the square root gives us both a positive and a negative solution:

   x = ±√6

3. Final Solutions:

   Thus, the solutions to the equation are:

   x = √6 and x = -√6

In conclusion, the values of x that satisfy the initial equation are √6 and -√6.