Ta có : x(x + 3) = 0
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-3\end{cases}}\)
1.
a) x . ( x + 3 ) = 0
\(\Rightarrow\orbr{\begin{cases}x=0\\x+3=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=0\\x=-3\end{cases}}\)
b) ( x - 2 ) . ( 5 - x ) = 0
\(\Rightarrow\orbr{\begin{cases}x-2=0\\5-x=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2\\x=5\end{cases}}}\)
c) \(\left(x-1\right).\left(x^2+1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x^2+1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=1\\\text{x không tồn tại}\end{cases}}}\)
2.
-12 . ( x - 5 ) + 7 . ( 3 - x ) = 5
-12x - ( -60 ) + 21 - 7x = 5
-12x + 60 + 21 - 7x = 5
( -12x - 7x ) + ( 60 + 21 ) = 5
-19x + 81 = 5
-19x = 5 - 81
-19x = -76
x = ( -76 ) : (-19 )
x = 4