## Solving the Equation (x+3)^2 = 100

This equation involves a squared term, making it a quadratic equation. We can solve it using the following steps:

### 1. Take the square root of both sides

The square root of a squared term is the original term itself. Therefore:

```
√((x+3)^2) = ±√100
```

This gives us:

```
x + 3 = ±10
```

### 2. Isolate x

To isolate *x*, we need to subtract 3 from both sides:

```
x + 3 - 3 = ±10 - 3
```

This simplifies to:

```
x = ±10 - 3
```

### 3. Solve for the two possible values of x

Now we have two possible solutions:

**x = 10 - 3 = 7****x = -10 - 3 = -13**

Therefore, the solutions to the equation (x+3)^2 = 100 are **x = 7** and **x = -13**.