\(6x^2-\left(2x-3\right)\left(3x+2\right)-1=0\)
\(\Rightarrow6x^2-6x^2+5x+6-1=0\)
\(\Rightarrow5x=-5\Rightarrow x=-1\)
\(\Rightarrow6x^2-\left(6x^2-5x-6\right)-1=0\\ \Rightarrow5x+5=0\\ \Rightarrow x=-1\)
\(6x^2-\left(2x-3\right)\left(3x+2\right)-1=0\)
\(\Leftrightarrow6x^2-6x^2-4x+9x+6-1=0\)
\(\Leftrightarrow x=-1\)