(3x-1)2-5(2x+1)2+(6x-3)(2x+1)=(x-1)2
<=> (3x-1)2+2(3x-1)(2x+1)+(2x+1)2-6(2x+1)2=(x-1)2
<=> (5x)2-6(4x2+4x+1)-(x2-2x+1)=0
<=> -22x-7=0
=> x=-7/22
\(\left(3x-1\right)^2-5\left(2x+1\right)^2+\left(6x-3\right)\left(2x+1\right)=\left(x-1\right)^2\)
\(\Leftrightarrow9x^2-6x+1+\left(2x+1\right)\left[-5\left(2x+1\right)+6x-3\right]=x^2-1\)
\(\Leftrightarrow9x^2-6x+1+\left(2x+1\right)\left[-10x-5+6x-3\right]=x^2-1\)
\(\Leftrightarrow9x^2-6x+1+\left(2x+1\right)\left[-4x-8\right]=x^2-1\)
\(\Leftrightarrow9x^2-6x+1-4x\left(2x+1\right)-8\left(2x+1\right)=x^2-1\)
\(\Leftrightarrow9x^2-6x+1-8x^2-4x-16x-8=x^2-1\)
\(\Leftrightarrow\left(9x^2-8x^2-x^2\right)-\left(4x+6x+16x\right)+\left(1-8\right)=-1\)
\(\Leftrightarrow0-26x-7=-1\)
\(\Leftrightarrow-26x=-1+7\)
\(\Leftrightarrow-26x=6\)
\(\Leftrightarrow x=\frac{-3}{13}\)
