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