a: \(2x\left(x+1\right)-\left(x+2\right)\left(2x-1\right)=3\)
=>\(2x^2+2x-\left(2x^2-x+4x-2\right)=3\)
=>\(2x^2+2x-\left(2x^2+3x-2\right)=3\)
=>\(2x^2+2x-2x^2-3x+2=3\)
=>-x+2=3
=>-x=1
=>x=-1
b:
ĐKXĐ: y<>0
\(\dfrac{2xy-6x^2y}{2y}+3x\left(x-1\right)=0\)
=>\(x-3x^2+3x^2-3x=0\)
=>-2x=0
=>x=0(nhận)
c: ĐKXĐ: \(\left\{{}\begin{matrix}x\ne0\\y\ne0\end{matrix}\right.\)
\(3\left(x^2-6x+7\right)-\dfrac{3x^3y^2-4x^2y^2}{xy^2}=4x+2\)
=>\(3x^2-18x+21-3x^2+4x=4x+2\)
=>-18x+21=2
=>-18x=-19
=>\(x=\dfrac{19}{18}\left(nhận\right)\)