How do you square root (4x-3) ^2+7=39

The steps to determining the value of x from the equation above is layed-out below.

1. Given: (4x - 3) ^2 + 7 = 39

2. Subtract 7 from both sides of the equation,

(4x - 3) ^2 = 39 - 7 = 32

3. Determine the square roots of both sides of the equation.

4x - 3 = sqrt 32 = 5.657

4. Add 3 to both sides of the equation.

4x = 8.657

5. Lastly, divide the equation by 4 to get the final value of x.

x = 2.164