Question

x^2-4-4x(x-2)=0

Answer 1

=>(x-2)(x+2)-4x(x-2)=0

=>(x-2)(-3x+2)=0

=>x=2/3 hoặc x=2

Answer 2

`x^2 -4-4x(x-2)=0`

`<=> x^2 -4-(4x^2 - 8x )=0`

`<=>> x^2 -4-4x^2 +8x=0`

`<=> -3x^2 +8x-4=0`

`<=>-(3x^2 -8x +4)=0`

`<=> -(3x^2-2x-6x+4)=0`

`<=> -(x-2)(3x-2)=0`

`<=> (-x +2) (3x-2)=0`

\(\Leftrightarrow\left[{}\begin{matrix}-x+2=0\\3x-2=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}-x=-2\\3x=2\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{2}{3}\end{matrix}\right.\)