\(\left(3x^2-x+1\right)\left(3x^2+5x+1\right)=27x^2\)
=>\(\left(3x^2+1-x\right)\left(3x^2+1+5x\right)=27x^2\)
=>\(\left(3x^2+1\right)^2+4x\left(3x^2+1\right)-5x^2-27x^2=0\)
=>\(\left(3x^2+1\right)^2+4x\left(3x^2+1\right)-32x^2=0\)
=>\(\left(3x^2+1+8x\right)\left(3x^2+1-4x\right)=0\)
=>\(\left(3x^2+8x+1\right)\left(3x-1\right)\left(x-1\right)=0\)
=>\(\left[{}\begin{matrix}3x^2+8x+1=0\\3x-1=0\\x-1=0\end{matrix}\right.\)
=>\(\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=1\\x=\dfrac{-4\pm\sqrt{13}}{3}\end{matrix}\right.\)
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