3x.(x-2)-x²+2x=0

⇔3x²-6x-x²+2x=0

⇔2x²-4x=0

⇔2x(x-2)=0

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

vậy x=0 và x=2

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

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

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

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

<=>2x=0 hoặc x-2=0

<=>x=0 hoặc x=2

\(3x\left(x-2\right)-x^2+2x=0\Rightarrow3x\left(x-2\right)-x\left(x-2\right)=0\Rightarrow\left(x-2\right)\left(3x-x\right)=0\Rightarrow\left[{}\begin{matrix}x-2=0\\2x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)

3690, 3960, 6390, 9036

Vì x là số tròn nghìn nên 

x + 1234< 5678

=> x = 1000, 2000, 3000, 4000

x = 1234

\(x + 1234<5678\)
\(x < 5678-1234 \)
\(x < 4444 \)

\(\text{Do x là số tròn nghìn, vậy x là 1000, 2000, 3000, 4000.}\)

\(2466 < x +1235 < 2470 \)

Ta có:

\(2466 < x +1235 nên 2466 - 1235 < x nên 1231 < x\)
Và:

\(x +1235 < 2470 nên x < 2470 - 1235 nên x < 1235\)

\(Do đó 1231 < x < 1235\)

\(\text{Do x là số có 4 chữ số khác nhau, vậy nên x là 1234.}\)

e cảm ơn chj Lê Michael và chj xu zianghồ2011^^ nhưng e cần là theo cách tiểu học ạ các chj làm e ko hỉu lắm 

\(\left(\dfrac{1}{8}\right)^9\cdot8^9-\left(\dfrac{3}{4}-2x\right)^2=\dfrac{41}{9}-\dfrac{72^2}{36^2}\\ \Rightarrow\left(\dfrac{1}{8}\cdot8\right)^9-\left(\dfrac{3}{4}-2x\right)^2=\dfrac{41}{9}-\left(\dfrac{72}{36}\right)^2\\ \Rightarrow1^9-\left(\dfrac{3}{4}-2x\right)^2=\dfrac{41}{9}-2^2=\dfrac{5}{9}\\ \Rightarrow\left(\dfrac{3}{4}-2x\right)^2=1-\dfrac{5}{9}=\dfrac{4}{9}\\ \Rightarrow\left[{}\begin{matrix}\dfrac{3}{4}-2x=\dfrac{2}{3}\\2x-\dfrac{3}{4}=\dfrac{2}{3}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=\dfrac{1}{12}\\2x=\dfrac{17}{12}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{24}\\x=\dfrac{17}{24}\end{matrix}\right.\)

\(\Leftrightarrow x.0,75+x.1,25+x.0,75+x.8,25=x+2010\)

\(\Leftrightarrow x\left(0,75+1,25+0,75+8,25\right)=x+2010\)

\(\Leftrightarrow x.11=x+2010\)

\(\Leftrightarrow x=201\)

khó quá ??????????????????????????????????

a) (-2) . ( x+7 ) + (-5) = 7 

<=>(-2).(x+7)=7+5

<=>x+7=12:(-2)

<=>x+7=-6

<=>x=(-6)-7

<=>x=-13

Vậy x=-13

b)(x+4) : (-7) = 14

<=>x+4=14 x (-7)

<=>x+4=-98

<=>x=-98-4

<=>x=-102

Vậy x= -102

c) 72 : ( x+5) - 4 = -12 

<=>72:(x+5)=(-12)+4

<=>x+5=72:(-8)

<=>x+5=-9

<=>x=-9-5

<=>x=-14

Vậy x= -14

d) (x+3) : (-6 ) + 12 = 8 

<=>(x+3) :(-6)=8-12

<=>x+3=(-4)x(-6)

<=>x+3=24

<=>x=24-3

<=>x=21

Vậy x= 21 

`2x-2/3=1/2`

`2x=1/2+2/3`

`2x=7/6`

`x=7/6:2=7/12`

\(2x-\dfrac{2}{3}=\dfrac{1}{2}\Leftrightarrow2x=\dfrac{2}{3}+\dfrac{1}{2}=\dfrac{7}{6}\Leftrightarrow x=\dfrac{7}{6}:2=\dfrac{7}{12}\)

2x - 2/3 = 1/2

2x = 1/2 + 2/3 = 7/6

x = 7/6 : 2 = 7/12

vậy x = 7/12

a) Ta có: \(\left|x-2\right|\ge0\forall x\)

\(\Leftrightarrow\left|x-2\right|+15\ge15\forall x\)

Dấu '=' xảy ra khi x=2

b) Ta có: \(\left|x-5\right|\ge0\forall x\)

\(\Leftrightarrow2\left|x-5\right|\ge0\forall x\)

\(\Leftrightarrow2\left|x-5\right|-4\ge-4\forall x\)

Dấu '=' xảy ra khi x=5

\(\left(3-x\right)\left(x+1\right)-\left(2.x\right)\left(x+2\right)-3\)

\(=3x+3-x^2-x-2x^2-4x-3=-3x^2-2x\)