## Solving the Equation (x+15)^2 = 54

This article will guide you through solving the equation **(x+15)^2 = 54**. We'll break down each step, ensuring clarity and understanding.

### 1. Isolate the Squared Term

First, we need to isolate the term that's being squared. To do this, we take the square root of both sides of the equation:

√((x+15)^2) = √54

This simplifies to:

x + 15 = ±√54

**Note:** We include the ± symbol because both the positive and negative square roots of 54 will satisfy the equation.

### 2. Simplify the Square Root

Next, we simplify the square root of 54:

√54 = √(9 * 6) = 3√6

### 3. Solve for x

Now we have:

x + 15 = ±3√6

To isolate 'x', subtract 15 from both sides:

x = -15 ± 3√6

### 4. The Solution

Therefore, the solutions to the equation (x+15)^2 = 54 are:

**x = -15 + 3√6****x = -15 - 3√6**

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