a: =>(x-3)(2x+5)=0
=>x=3 hoặc x=-5/2
f: =>(3x-5)(2x-5)=0
=>x=5/3 hoặc x=5/2
\(a,2x\left(x-3\right)+5\left(x-3\right)=0\\ \Rightarrow\left(x-3\right)\left(2x+5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{5}{2}\end{matrix}\right.\)
\(e,2x^3+6x^2=x^2+3x\\ \Rightarrow2x^3+6x^2-x^2-3x\\ \Rightarrow2x^3+5x^2-3x=0\\ \Rightarrow x\left(2x^2+5x-3\right)=0\\ \Rightarrow x\left(2x^2+6x-x-3\right)=0\\ \Rightarrow x\left[2x\left(x+3\right)-\left(x+3\right)\right]=0\\ \Rightarrow x\left(2x-1\right)\left(x+3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{2}\\x=-3\end{matrix}\right.\)
\(f,\left(3x-5\right)^2-x\left(3x-5\right)=0\\ \Rightarrow\left(3x-5\right)\left(3x-5-x\right)=0\\ \Rightarrow\left(3x-5\right)\left(2x-5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=\dfrac{5}{2}\end{matrix}\right.\)
\(g,2x^2+5x=0\\ \Rightarrow x\left(2x+5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{5}{2}\end{matrix}\right.\)
