\(\left(1-3x\right)^2-\left(x-2\right)\left(9x+1\right)=\left(3x-4\right)\left(3x+4\right)-9\left(x+3\right)^2\)
\(\Leftrightarrow1-6x+9x^2-\left[x\left(9x+1\right)-2\left(9x+1\right)\right]=9x^2-16-9\left(x^2+6x+9\right)\)\(\Leftrightarrow1-6x+9x^2-\left(9x^2+x-18x-2\right)=9x^2-16-9x^2-54x-81\)\(\Leftrightarrow1-6x+9x^2-9x^2+x-18x-2=9x^2-16x-9x^2-54x-81\)\(\Leftrightarrow-1-24x=70x-81\)
\(\Leftrightarrow-1-24x-70x+81=0\)
\(\Leftrightarrow80-94x=0\)
\(\Leftrightarrow94x=80\Leftrightarrow x=\dfrac{40}{47}\)
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