How to solve 16x2-16x 4=9 using square root property

If the problem is 16x^2 - 16x + 4 = 9, then:

Factor 4 out of each term of the left side.

4 (4 x^2 - 4x + 1) = 9

Divide both sides by 4

4 x^2 - 4x + 1 = 9/4

Factor the left side - it is a perfect square trinomial

(2x - 1) * (2x - 1) = 9/4

(2x - 1) ^2 = (3/2) ^2

Take square roots of both sides

2x - 1 = + 3/2 OR 2x - 1 = - 3/2

Solve each equation for x

2x = 5/2 OR 2x = - 1/2

x = 5/4 OR x = - 1/4