Question

8x(x-5)-2x+10=0

Answer 1

`8x(x-5)-2x+10=0`

`<=> 8x(x-5)-(2x-10)=0`

`<=>  8x(x-5)-2(x-5)=0`

`<=>(x-5)(8x-2)=0`

\(\Leftrightarrow\left[{}\begin{matrix}x-5=0\\8x-2=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0+5\\8x=2\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{2}{8}=\dfrac{1}{4}\end{matrix}\right.\)

`@ `\(Han_nie\)

Answer 2

\(<=>8x(x-5)-2(x-5)=0\)

\(<=>(x-5)(8x-2)=0\)

\(<=>\) \(\left[{}\begin{matrix}x-5=0\\8x-2=0\end{matrix}\right.\left[{}\begin{matrix}x=5\\\dfrac{2}{8}\end{matrix}\right.\)