a)\(3x\left(x-2\right)+4\left(x-2\right)=0\)\(\Rightarrow\left(3x+4\right)\left(x-2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}3x+4=0\\x-2=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{4}{3}\\x=2\end{matrix}\right.\)
b)\(\left(x+3\right)\left(x+4\right)-\left(x-3\right)\left(x-5\right)=2\)
\(\Rightarrow x^2+7x+12-\left(x^2-8x+15\right)=2\)
\(\Rightarrow15x-3=2\Rightarrow15x=5\Rightarrow x=\dfrac{1}{3}\)
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