A.\(\left(\frac{4}{7}.x-1\right).3=\frac{1}{21}\)

\(\frac{4}{7}.x-1=\frac{1}{21}:3\)

\(\frac{4}{7}.x-1=\frac{1}{21}.3\)

\(\frac{4}{7}.x-1=\frac{1}{7}\)

\(\frac{4}{7}.x=1+\frac{1}{7}\)

\(\frac{4}{7}.x=\frac{8}{7}\)

\(x=\frac{8}{7}:\frac{4}{7}\)

\(x=\frac{8}{7}.\frac{7}{4}\)

\(x=2\)

Vậy x=2

C.\(\frac{2}{3}.x-\frac{1}{3}.x=\frac{5}{9}\)

\(\left(\frac{2}{3}-\frac{1}{3}\right).x=\frac{5}{9}\)

\(\frac{1}{3}.x=\frac{5}{9}\)

\(x=\frac{5}{9}:\frac{1}{3}\)

\(x=\frac{5}{9}.3\)

\(x=\frac{5}{3}\)

Vậy \(x=\frac{5}{3}\)

D. \(\left(x-2\frac{1}{4}\right).\left(\frac{-2}{3}\right).50\%=2\frac{5}{6}\)

\(x.\frac{-2}{3}-\frac{9}{4}.\frac{-2}{3}=\frac{17}{6}:\frac{1}{2}\)

\(x.\frac{-2}{3}-\frac{-3}{2}=\frac{17}{6}.2\)

\(x.\frac{-2}{3}+\frac{3}{2}=\frac{17}{3}\)

\(x.\frac{-2}{3}=\frac{17}{3}-\frac{3}{2}\)

\(x.\frac{-2}{3}=\frac{34}{6}-\frac{9}{6}\)

\(x.\frac{-2}{3}=\frac{25}{6}\)

\(x=\frac{25}{6}:\frac{-2}{3}\)

\(x=\frac{25}{6}.\frac{3}{-2}\)

\(x=\frac{25}{-4}\)

Vậy \(x=\frac{25}{-4}\)

`@` `\text {Ans}`

`\downarrow`

\(\dfrac{2}{3}\times x-\dfrac{x}{2}-\dfrac{1}{2}=\dfrac{1}{4}?\)

`=>`\(\dfrac{2}{3}x-\dfrac{x}{2}-\dfrac{1}{2}=\dfrac{1}{4}\)

`=>`\(\dfrac{4x}{6}-\dfrac{3x}{6}-\dfrac{1}{2}=\dfrac{1}{4}\)

`=>`\(\dfrac{x}{6}-\dfrac{1}{2}=\dfrac{1}{4}\)

`=>`\(\dfrac{x}{6}=\dfrac{1}{4}+\dfrac{1}{2}\)

`=>`\(\dfrac{x}{6}=\dfrac{3}{4}\)

`=> 4x=3*6`

`=> 4x=18`

`=> x=`\(\dfrac{18}{4}=\dfrac{9}{2}=4,5\)

Vậy, `x=4,5.`

\(\href{https://hoc24.vn/vip/14874167551162}{\text{_KaizulvG_}}\)

x=-081818181

a)4/3:x=-4/7                         b)5/3.x=7/12

⇒x=-16/21                             ⇒x=7/20

a. \(\dfrac{5}{7}+\dfrac{4}{3}:x=\dfrac{1}{7}\)

<=> \(\dfrac{5}{7}+\dfrac{4}{3}.\dfrac{1}{x}=\dfrac{1}{7}\)

<=> \(\dfrac{5}{7}+\dfrac{4}{3x}=\dfrac{1}{7}\)         ĐKXĐ: x \(\ne\) 0

<=> \(\dfrac{15x}{21x}+\dfrac{28}{21x}=\dfrac{3x}{21x}\)

<=> 15x + 28 = 3x

<=> 15x - 3x = -28

<=> 12x = -28

<=> x = \(\dfrac{-28}{12}=-\dfrac{7}{3}\)

b. \(\dfrac{5}{3}x.\dfrac{-1}{4}=\dfrac{2}{6}\)

<=> \(\dfrac{-5x}{12}=\dfrac{2}{6}\)

<=> -5x . 6 = 12 . 2

<=> -30x = 24

<=> x = \(-\dfrac{4}{5}\)

a) 32 : (3.x - 2) = 8

3x - 2 = 32 : 8

3x - 2 = 4

3x = 4 + 2

3x = 6

x = 6 : 3

x = 2

b) 75 : (x - 18) = 25

x - 18 = 75 : 25

x - 18 = 3

x = 3 + 18

x = 21

c) (15 - 6.x) . 243 = 729

15 - 6x = 729 : 243

15 - 6x = 3

6x = 15 - 3

6x = 12

x = 12 : 6

x = 2

d) 4.(x - 12) + 9 = 17

4(x - 12) = 17 - 9

4(x - 12) = 8

x - 12 = 8 : 4

x - 12 = 2

x = 2 + 12

x = 14

e) 20 - 2.(x + 4) = 4

2(x + 4) = 20 - 4

2(x + 4) = 16

x + 4 = 16 : 2

x + 4 = 8

x = 8 : 2

x = 4

`32: ( 3xx x -2)=8`

`3xx x-2=32:8`

`3xx x-2=4`

`3 xx x=4+2`

`3xx x=6`

`x=6:3`

`x=2`

__

`75 : (x-18) =25`

`x-18=75:25`

`x-18= 3`

`x=3+18`

`x=21`

__

`(15-6 xx x ) xx 243 =729`

`15-6 xx x = 729 : 243`

`15-6 xx x = 3`

`6 xx x=15-3`

`6 xx x=12`

`x=12:6`

`x=2`

__

`4 xx (x-12)+9=17`

`4 xx (x-12)=17-9`

`4 xx (x-12)= 8`

`x-12=8:4`

`x-12=2`

`x=2+12`

`x=14`

__

`20-2xx(x+4)=4`

`2xx(x+4)=20-4`

`2xx(x+4)=16`

`x+4=16:2`

`x+4=8`

`x=8-4`

`x=4`

\(a,32:\left(3\times X-2\right)=8\\ 3\times X-2=32:8=4\\ 3\times X=4+2=6\\ X=\dfrac{6}{3}=2\\ Vậy:X=2\\ ---\\ b,75:\left(X-18\right)=25\\ X-18=75:25=3\\ X=3+18=21\\ Vậy:X=21\\ ---\\ c,\left(15-6\times X\right)\times243=729\\ 15-6\times X=729:243=3\\ 6\times X=15-3=12\\ X=\dfrac{12}{6}=2\\ Vậy:X=2\\ ---\\ d,4\times\left(X-12\right)+9=17\\ 4\times\left(X-12\right)=17-9=8\\ X-12=8:4=2\\ X=2+12=14\\ Vậy:X=14\\ ---\\ e,20-2\times\left(X+4+4\right)=4\\ 2\times\left(X+4\right)=20-4=16\\ X+4=16:2=8\\ X=8-4=4\\ Vậy:X=4\)

\(x^2-5x+6=0\)

\(x^2-2x-3x+6=0\)

\(x\left(x-2\right)-3\left(x-2\right)=0\)

\(\left(x-3\right)\left(x-2\right)=0\)

                   \(x=3\)

                  \(x=2\)

Vậy x = 3 và x = 2 là nghiệm của đa thức trên. (cái đa thức kia bạn ghi rõ lại hơn đi)