\(a.x^2-25-\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-5\right)-\left(x+5\right)=0\)
\(\Leftrightarrow\left(x+5\right)\left(x-6\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+5=0\\x-6=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=6\end{matrix}\right.\)
\(b.3x\left(x-2\right)-x+2=0\)
\(\Leftrightarrow3x\left(x-2\right)-\left(x-2\right)=0\)
\(\Leftrightarrow\left(3x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-1=0\\x-2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=2\end{matrix}\right.\)
\(c.x\left(x-4\right)-2x+8=0\)
\(\Leftrightarrow x\left(x-4\right)-2\left(x-4\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(x-4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x-4=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=4\end{matrix}\right.\)
\(d.3x\left(x+5\right)-3x-15=0\)
\(\Leftrightarrow3x\left(x+5\right)-3\left(x+5\right)=0\)
\(\Leftrightarrow\left(3x-3\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-3=0\\x+5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-5\end{matrix}\right.\)
\(d'.x\left(2x-3\right)-3\left(3-2x\right)=0\)
\(\Leftrightarrow x\left(2x-3\right)+3\left(2x-3\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(2x-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\2x-3=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=\dfrac{3}{2}\end{matrix}\right.\)
a: =>(x+5)(x-5-1)=0
=>(x+5)(x-6)=0
=>x=-5 hoặc x=6
b: =>(x-2)(3x-1)=0
=>x=2 hoặc x=1/3
c: =>(x-4)(x-2)=0
=>x=4 hoặc x=2
d: =>(x+5)(3x-5)=0
=>x=5/3 hoặc x=-5
e: =>x(2x-3)+3(2x-3)=0
=>(2x-3)(x+3)=0
=>x=3/2 hoặc x=-3
