\(a,x^2+3x-10=0\\ =>x^2+5x-2x-10=0\\ =>x\left(x+5\right)-2\left(x+5\right)=0\\ =>\left(x-2\right)\left(x+5\right)=0\\ =>\left[{}\begin{matrix}x-2=0\\x+5=0\end{matrix}\right.\\ =>\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\\ b,2x^2-3x-2=0\\ =>2x^2-x+4x-2=0\\ =>x\left(2x-1\right)+2\left(2x-1\right)=0\\ =>\left(x+2\right)\left(2x-1\right)=0\\ =>\left[{}\begin{matrix}x+2=0\\2x-1=0\end{matrix}\right.=>\left[{}\begin{matrix}x=-2\\x=\dfrac{1}{2}\end{matrix}\right.\)
1: =>(x+5)(x-2)=0
=>x=2 hoặc x=-5
2:=>2x^2-4x+x-2=0
=>(x-2)(2x+1)=0
=>x=2 hoặc x=-1/2
\(1,x^2+3x-10=0\)
\(\Leftrightarrow x^2-2x+5x-10=0\)
\(\Leftrightarrow x\left(x-2\right)+5\left(x-2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\)
\(2,2x^2-3x-2=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{1}{2}\end{matrix}\right.\)
