Final answer:
To solve the given perfect square trinomial, subtract 6 from both sides, factor the trinomial, take the square root of both sides, and solve for x.
Step-by-step explanation:
To solve the equation x² + 4x + 4 = 6 which is a perfect square trinomial, we need to follow these steps:
- First, subtract 6 from both sides.
- Next, simplify the trinomial on the left side of the equation by factoring it as (x + 2)² = 0.
- Then, take the square root of both sides to eliminate the square.
- Finally, solve for x by setting x + 2 = 0 and find the value of x.
After following these steps, you will find the solution to the equation x = -2.