a: \(\Leftrightarrow3x\left(x-3\right)-x\left(2x-9\right)=0\)
\(\Leftrightarrow x\left(3x-9-2x+9\right)=0\)
=>x=0
b: \(\Leftrightarrow x\cdot\dfrac{1}{2}\left(x-3\right)-\left(x-3\right)\left(\dfrac{3}{2}x-1\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(\dfrac{1}{2}x-\dfrac{3}{2}x+1\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(1-x\right)=0\)
=>x=3 hoặc x=1
c: \(\Leftrightarrow2x\left(x-5\right)-3\left(x-5\right)=0\)
=>(x-5)(2x-3)=0
=>x=5 hoặc x=3/2
d: \(\text{Δ}=\left(-3\right)^2-4\cdot3\cdot\left(-3\right)=9+36=45>0\)
Do đó: Phương trình có hai nghiệm phân biệt là:
\(\left\{{}\begin{matrix}x_1=\dfrac{3-3\sqrt{5}}{2}\\x_2=\dfrac{3+3\sqrt{5}}{2}\end{matrix}\right.\)
