`a,2x^2 - 3x = 0`
`⇔ x ( 2x - 3 ) = 0`
`⇔` \(\left[ \begin{array}{l}x=0\\2x-3=0\end{array} \right.\)
`⇔` \(\left[ \begin{array}{l}x=0\\2x=3\end{array} \right.\)
`⇔` \(\left[ \begin{array}{l}x=0\\x=1,5\end{array} \right.\)
Vậy `x=0` hoặc `x=1,5`
`b,2 ( x + 1 ) = ( x + 1 )^2`
`⇔ 2 ( x + 1 ) - ( x + 1 )^2 = 0`
`⇔ ( x + 1 ) [ 2 - ( x + 1 ) ] = 0`
`⇔ ( x + 1 ) ( 1-x ) = 0`
`⇔` \(\left[ \begin{array}{l}x+1=0\\1-x=0\end{array} \right.\)
`⇔` \(\left[ \begin{array}{l}x=-1\\x=1\end{array} \right.\)
Vậy `x=-1` hoặc `x=1`
Học tốt !