To solve this equation, we first need to expand each part of the equation and then simplify it:

(3 - 2x)^2 = (3 - 2x)(3 - 2x)
= 9 - 6x - 6x + 4x^2
= 9 - 12x + 4x^2

(5 + 2x)(2x + 1) = 10x + 5 + 4x^2 + 2x
= 4x^2 + 12x + 5

Now we substitute these expressions back into the original equation:

(9 - 12x + 4x^2) - (4x^2 + 12x + 5) = -20
9 - 12x + 4x^2 - 4x^2 - 12x - 5 = -20
9 - 5 = -20
4 = -20

Since this equation results in a contradiction, there is no solution for this equation.