Final answer:
To solve the equation 3(x+2)²=48, you can follow these steps: expand the equation, simplify, solve the quadratic equation, and check the solution.
Step-by-step explanation:
- Expand the equation by squaring the binomial (x+2)²
- Multiply the coefficient 3 with the expanded equation
- Simplify the equation and move all terms to one side to get a quadratic equation
- Factor or use the quadratic formula to solve for x
- Check your solution by substituting x back into the original equation