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a) 3x - 2 = 0 => 3x = 2 => x = 2/3
b) 2x - 1 = 0 => 2x = 1 => x = 1/2
c) 5 ( 4+2x) = 8+5x
<=> 20 + 10x = 8 + 5x
<=> 10x - 5x = 8 - 20
<=> 5x = -12
x = -12/5
d) \(\frac{1}{2}+\frac{3}{4}x=6-\frac{4}{5}x\)
\(\frac{3}{4}x+\frac{4}{5}x=6-\frac{1}{2}\)
\(\frac{31}{20}x=\frac{11}{2}\)
\(x=\frac{11}{2}:\frac{31}{20}=\frac{110}{31}\)
e) 3 + 2x = 4 - 8x
<=> 2x + 8x = 4 - 3
10 x = 1
x = 1/10
f \(5+\frac{1}{2}\left(x+5\right)=3\)
\(\frac{1}{2}\left(x+5\right)=3-5=-2\)
\(x+5=-2:\frac{1}{2}=-4\)
\(x=-4-5=1\)
Vậy ......

\(\left|2x\right|+2x=0\)
\(\Rightarrow\left|2x\right|=-2x\)
\(\Rightarrow2x\le0\)
\(\Rightarrow x\le0\)
Vậy \(x\le0\)
\(\left(x-1\right).\left(x+2\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-2\end{cases}}}\)
Vậy \(\orbr{\begin{cases}x=1\\x=-2\end{cases}}\)
\(\left|x-3\right|+x-3=0\)
\(\left|x-3\right|=-x+3\)
\(\left|x-3\right|=-\left(x-3\right)\)
\(\Rightarrow x-3\le0\)
\(\Rightarrow x\le3\)
Vậy \(x\le3\)
\(\left(x+1\right)^3=\left(x+1\right)^5\)
\(\left(x+1\right)^5-\left(x+1\right)^3=0\)
\(\left(x+1\right)^3.\left[\left(x+1\right)^2-1\right]=0\)
\(\orbr{\begin{cases}\left(x+1\right)^3=0\\\left(x+1\right)^2-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=0\end{cases}}}\)hoặc \(x=-2\)
Vậy \(x\in\left\{-1;0;-2\right\}\)
\(\left(x-2\right)^3=2^9\)
\(\left(x-2\right)^3=\left(2^3\right)^3\)
\(\Rightarrow x-2=2^3\)
\(x=8+2\)
\(x=10\)
Vậy \(x=10\)
Câu 6 tương tự câu 4
Tham khảo nhé~
P/S: nên chia nhỏ đăng thành nhiều bài khác nhau

a, \(\frac{1}{3}x+\frac{2}{5}\left(x-1\right)=0\)
\(\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}=0\)
\(\left(\frac{1}{3}+\frac{2}{5}\right)x-\frac{2}{5}=0\)
\(\frac{11}{15}x-\frac{2}{5}=0\)
\(\frac{11}{15}x=\frac{2}{5}\)
x = \(\frac{2}{5}:\frac{11}{15}\)
x = \(\frac{6}{11}\)
( 2x - 3 )( 6-2x ) = 0
=> \(\orbr{\begin{cases}2x-3=0\\6-2x=0\end{cases}}\)
=> \(\orbr{\begin{cases}2x=3\\2x=6\end{cases}}\)
=>\(\orbr{\orbr{\begin{cases}x=\frac{3}{2}\\x=3\end{cases}}}\)
Xong rùi :3 Chúc bạn hok thật tốt nhé ^_^

\(\left[\frac{x}{3}+\frac{1}{2}\right]\left[75\%-\frac{3}{2}x\right]=0\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{3}+\frac{1}{2}=0\\75\%-\frac{3}{2}x=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{3}+\frac{1}{2}=0\\\frac{75}{100}-\frac{3}{2}x=0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}\frac{x}{3}+\frac{1}{2}=0\\\frac{3}{4}-\frac{3}{2}x=0\end{cases}}\Rightarrow\hept{\begin{cases}x=-\frac{3}{2}\\x=\frac{1}{2}\end{cases}}\)
Vậy : \(x\in\left\{-\frac{3}{2};\frac{1}{2}\right\}\)
\(\frac{x-2}{20}=\frac{5}{2-x}\)
\(\Rightarrow(x-2)\cdot(2-x)=100\)
Tự làm nốt :v

a) \(\frac{2}{5}:\left(2x+\frac{3}{4}\right)=-\frac{7}{10}\)
=> \(2x+\frac{3}{4}=-\frac{7}{10}:\frac{2}{5}\)
=> \(2x+\frac{3}{4}=-\frac{7}{4}\)
=> \(2x=\frac{-7}{4}-\frac{3}{4}\)
=> \(2x=-\frac{5}{2}\)
=> \(x=\frac{-5}{2}:2\)
=> \(x=\frac{-5}{4}\)
b) \(\frac{x+1}{3}=\frac{2-x}{2}\)
\(\Rightarrow2\left(x+1\right)=3\left(2-x\right)\)
\(\Rightarrow2x+2=6-3x\)
\(\Rightarrow2x-3x=6-2\)
\(\Rightarrow-x=4\)
\(\Rightarrow x=4\)
c) \(\left|x-\frac{3}{5}\right|.\frac{1}{2}-\frac{1}{5}=0\)
\(\Rightarrow\left|x-\frac{3}{5}\right|.\frac{1}{2}=\frac{1}{5}\)
\(\Rightarrow\left|x-\frac{3}{5}\right|=\frac{1}{5}:\frac{1}{2}\)
\(\Rightarrow\left|x-\frac{3}{5}\right|=\frac{2}{5}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{3}{5}=\frac{2}{5}\\x-\frac{3}{5}=-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\frac{3}{5}+\frac{2}{5}\\x=\frac{3}{5}+-\frac{2}{5}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
d) \(x^2-4x=0\)
Ta có : \(x^2-4x=0\)
\(\Rightarrow xx-4x=0\)
\(\Rightarrow x\left(x-4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x-4=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=0+4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=0\\x=4\end{cases}}\)

kakashi hahahahahahahahahahahahahahahahahahahahahahahahahahahahaha
\(\left(\frac52x-3\right).\left(2x-1\right)=0\)
Suy ra : \(\frac52x-3=0\) hoặc \(2x-1=0\)
\(\frac52x=3\) hoặc \(2x=1\)
\(x=3:\frac52\) hoặc \(x=1:2\)
\(x=\frac65\) hoặc \(x=\frac12\)
Vậy \(x\in\left\lbrace\frac65;\frac12\right\rbrace\)