Question

Create a list of steps, in order, that will solve the following equation.
3(x+2)^2=48
Solution steps:

Answer 1

1. Divide both sides by 3: (x + 2)^2 = 48 / 3 = 16.
2. Take the square root of both sides: x + 2 = ±√16 = ±4.
3. Solve each linear equation:
- x + 2 = 4 → x = 2
- x + 2 = −4 → x = −6
4. (Check) Substitute back if desired: 3(2+2)^2 = 3·16 = 48 and 3(−6+2)^2 = 3·16 = 48.

Solutions: x = 2 or x = −6.