First, let's expand the left side of the equation:

(2x+3)(3x+1) - 10 = 11x + 20

Expand using the distributive property:

6x^2 + 2x + 9x + 3 - 10 = 11x + 20

Combine like terms:

6x^2 + 11x - 7 = 11x + 20

Now, let's simplify the equation:

6x^2 - 7 = 20

Add 7 to both sides:

6x^2 = 27

Divide by 6:

x^2 = 4.5

Take the square root of both sides:

x = ± √4.5

Therefore, the solutions to the equation are x = ± √4.5.