Solve (2x+3) (x+4) = 1

To solve, simply layout an equation.

(2x+3) (x+4) = 1

Step 1: Simplify both sides of the equation.

2x2+11x+12=1

Step 2: Subtract 1 from both sides.

2x2+11x+12-1=1-1

2x2+11x+11=0

Step 3: Use quadratic formula with a=2, b=11, c=11.

x=-b±√b^2-4ac/2a

So, the answer for this problem is:

x=-11/4+1/4√33 or - 11/4+-1/4√33