=>(5x^2+3x-2-4x^2+3x+2)(5x^2+3x+2+4x^2-3x-2)=0
=>(x^2+6x)(9x^2)=0
=>x=0; x=-6
\(\left(5x^2+3x-2\right)^2=\left(4x^2-3x-2\right)^2\)
\(\Leftrightarrow5x^2+3x-2=4x^2-3x-2\)
\(\Leftrightarrow5x^2+3x-2-4x^2+3x+2=0\)
\(\Leftrightarrow x^2+6x=0\)
\(\Leftrightarrow x\left(x+6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x+6=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-6\end{matrix}\right.\)
\(\left(5x^2+3x-2\right)^2=\left(4x^2-3x-2\right)^2\\ \left(5x^2+3x-2\right)^2-\left(4x^2-3x-2\right)^2=0\\ \left(5x^2+3x-2-4x^2+3x+2\right)\left(5x^2+3x-2+4x^2-3x-2\right)=0\\ \left(x^2+6x\right)\left(9x^2-4\right)=0\\ x\left(x+6\right)\left(3x-2\right)\left(3x+2\right)=0\\ \left[{}\begin{matrix}x=0\\x+6=0< =>x=-6\\3x-2=0< =>x=\dfrac{2}{3}\\3x+2=0< =>x=-\dfrac{2}{3}\end{matrix}\right.\)
