a)x.(x+2)+x-2=0
\(\Leftrightarrow x^2+2x+x-2=0\)
\(\Leftrightarrow x^2+3x-2=0\)
\(\Delta=3^2-\left(-4\left(1.2\right)\right)=17\)
\(x_{1,2}=\frac{-3\pm\sqrt{17}}{2}\)
b)5x.(x-3)-x+3=0
\(\Leftrightarrow5x\left(x-3\right)-\left(x-3\right)=0\)
\(\Leftrightarrow\left(5x-1\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}5x-1=0\\x-3=0\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=\frac{1}{5}\\x=3\end{array}\right.\)
c)(x+2).(x+3)-(x-2).(x+5)=o
<=>x2+5x+6-x2-3x+10=0
<=>2x+16=0
<=>2x=-16
<=>x=-8