`a) -3x(1+3x)+(3x-1)^2=2(3-4x)`
`<=> -3x-9x^2+9x^2-6x+1=6-8x`
`<=> -9x+1-6+8x=0`
`<=> -x-5=0`
`<=> x=-5`
`b) 5x(x-2)-3x+6=0`
`<=> 5x(x-2)-3(x-2)=0`
`<=> (x-2)(5x-3)=0`
`<=>`\(\left[ \begin{array}{l}x-2=0\\5x-3=0\end{array} \right.\)
`<=>`\(\left[ \begin{array}{l}x=2\\x=\frac{3}{5}\end{array} \right.\)