Let's expand both sides of the equation.

Left side:
(2x - 3)^2 = (2x - 3)(2x - 3)
Expanding using FOIL method:
= 4x^2 - 6x - 6x + 9
= 4x^2 - 12x + 9

Right side:
(2x + 3)(2x - 3)
Expanding using FOIL method:
= 4x^2 - 6x + 6x - 9
= 4x^2 - 9

Therefore, the original equation simplifies to:
4x^2 - 12x + 9 = 4x^2 - 9

Notice that the quadratic terms cancel out:
-12x = -9

Solving for x:
x = -9 / -12
x = 3 / 4

Therefore, the solution to the equation is x = 3/4.