## Solving for x in the Equation (x+15)² - 10 = 0

This equation involves a quadratic expression, and we can solve for x using the following steps:

### 1. Isolate the squared term:

- Add 10 to both sides of the equation: (x + 15)² = 10

### 2. Take the square root of both sides:

- Remember to consider both positive and negative roots: x + 15 = ±√10

### 3. Solve for x:

- Subtract 15 from both sides: x = -15 ±√10

### Therefore, the solutions for x are:

- x = -15 + √10
- x = -15 - √10

**These are the two possible values of x that satisfy the original equation.**