a) 128 - 3(x + 4) = 23

             3(x + 4) = 128 -23

             3(x + 4) = 105

                x + 4  = 105 : 3

                x + 4  = 35

                x        = 35 - 4

                x        = 31

\(a.128-3\left(x+4\right)=23.\)

\(3\left(x+4\right)=128-23\)

\(3\left(x+4\right)=105\)

\(x+4=105:3=35\)

\(x=35-4=31\)

\(b.\left[\left(4x+28\right)\cdot3+55\right]:5=35\)

\(\left(4x+28\right)\cdot3+55=35\cdot5=175\)

\(\left(4x+28\right)\cdot3=175-55=120\)

\(4x+28=120:3=40\)

\(4x=40-28=12\)

\(x=12:4=3\)

a, \(128-3.\left(x+4\right)=23\)

\(\Rightarrow\) \(3.\left(x+4\right)=105\)

\(\Rightarrow\) \(x+4=35\)

\(\Rightarrow\) \(x=31\)

b, \(\left[\left(4x+28\right).3+55\right]:5=35\)

\(\Rightarrow\) \(\left(4x+28\right).3+55=175\)

\(\Rightarrow\) \(\left(4x+28\right).3=120\)

\(\Rightarrow\) \(4x+28=40\)

\(\Rightarrow\) \(4x=12\)

\(\Rightarrow\) \(x=3\)

a, \(2x\left(x-3\right)-15+5x=0\\ \Rightarrow2x\left(x-3\right)-\left(15-5x\right)=0\\ \Rightarrow2x\left(x-3\right)-5\left(3-x\right)=0\\ \Rightarrow\left(2x+5\right)\left(x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{2}\\x=3\end{matrix}\right.\)

b, \(x^3-7x=0\\ \Rightarrow x\left(x^2-7\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=\pm7\end{matrix}\right.\)

c, \(\left(2x-3\right)^2-\left(x+5\right)^2=0\\ \Rightarrow\left(2x-3-x-5\right)\left(2x-3+x+5\right)=0\\ \Rightarrow\left(x-8\right)\left(3x+2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=8\\x=-\dfrac{2}{3}\end{matrix}\right.\)

Xem lại đề câu d 

a: \(x\left(x-3\right)+2x-6=0\)

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

\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-2\end{matrix}\right.\)

b: \(\left(x+1\right)^2-4\left(x+1\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x-3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-1\\x=3\end{matrix}\right.\)

4x² - ( x + 3 ).( x - 5 ) + x

= 4x^2 - (x -1 + 4)( x - 1 - 4) + x

= (2x)^2 - (x - 1)^2 + 4^2 + x

= (2x - x + 1)(2x + x - 1) + 16 + x

= (x + 1)(x - 1) + 16 + x

= x^2 - 1 + 16 + x

= x^2 + x - 15

4x² - ( x + 3 ).( x - 5 ) + x

= 4x^2 - (x -1 + 4)( x - 1 - 4) + x

= (2x)^2 - (x - 1)^2 + 4^2 + x

= (2x - x + 1)(2x + x - 1) + 16 + x

= (x + 1)(3x - 1) + 16 + x

= x^2 - x + 3x - 1 + 16 + x

= x^2 + 3x + 16

p/s: cho mk sửa lại nhé, ở trên mk giải sai nha

4x² - ( x + 3 ).( x - 5 ) + x

= 4x^2 - (x -1 + 4)( x - 1 - 4) + x

= (2x)^2 - (x - 1)^2 + 4^2 + x

= (2x - x + 1)(2x + x - 1) + 16 + x

= (x + 1)(3x - 1) + 16 + x

= x^2 - x + 3x - 1 + 16 + x

= x^2 + 3x + 15

p/s: cho mk sửa lại nhé, ở trên mk giải sai nha

part 2

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

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

\(\Rightarrow\left(x+3\right)\left(x+2\right)=0\)

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

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

TH1 x+3=0 <=> x=-3

TH2 x+2=0 <=> x=-2

Vậy.... 

\(a,\Leftrightarrow9x^2=-36\Leftrightarrow x\in\varnothing\\ b,\Leftrightarrow3\left(x+4\right)-x\left(x+4\right)=0\\ \Leftrightarrow\left(3-x\right)\left(x+4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=3\\x=-4\end{matrix}\right.\\ c,\Leftrightarrow2x^2-x-2x^2+3x+2=0\\ \Leftrightarrow2x=-2\Leftrightarrow x=-1\\ d,\Leftrightarrow\left(2x-3-2x\right)\left(2x-3+2x\right)=0\\ \Leftrightarrow-3\left(4x-3\right)=0\\ \Leftrightarrow x=\dfrac{3}{4}\\ e,\Leftrightarrow\dfrac{1}{3}x\left(x-9\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=9\end{matrix}\right.\\ f,\Leftrightarrow x^2\left(x-1\right)-\left(x-1\right)=0\\ \Leftrightarrow\left(x^2-1\right)\left(x-1\right)=0\\ \Leftrightarrow\left(x-1\right)^2\left(x+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)

a. 9x² - 6x - 3 = 0

<=> 3(3x² - 2x - 1) = 0

<=> 3(3x² - 3x + x - 1) = 0

<=> \(3\left[3x\left(x-1\right)+\left(x-1\right)\right]=0\)

<=> 3(3x + 1)(x - 1) = 0

<=> \(\left[{}\begin{matrix}3x+1=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{3}\\x=1\end{matrix}\right.\)

b. (2x + 1)² - 4(x + 2)² = 9

<=> (2x + 1)² - \(\left[2\left(x+2\right)\right]^2=9\)

<=> (2x + 1 - 2x - 4)(2x + 1 + 2x + 4) = 9

<=> -3(4x + 5) = 9

<=> 4x + 5 = -3

<=> 5 + 3 = -4x

<=> -4x = 8

<=> -x = 2

<=> x = -2

a) \(\Leftrightarrow\left(9x^2-6x+1\right)-4=0\)

\(\Leftrightarrow\left(3x-1\right)^2-4=0\)

\(\Leftrightarrow3\left(x-1\right)\left(3x+1\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{3}\end{matrix}\right.\)

b) \(\Leftrightarrow4x^2+4x+1-4x^2-16x-16=9\)

\(\Leftrightarrow12x=-24\Leftrightarrow x=-2\)

c) \(\Leftrightarrow3x^2-6x+3-3x^2+15x=21\)

\(\Leftrightarrow9x=18\Leftrightarrow x=2\)

d) \(\Leftrightarrow x^2+6x+9-x^2-4x+32=1\)

\(\Leftrightarrow2x=-40\Leftrightarrow x=-20\)

4.\(\left(2-x\right)\left(5-x\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}2-x=0\\5-x=0\end{cases}\Leftrightarrow\hept{\begin{cases}x=2\\x=5\end{cases}}}\)

5.\(\left(4x-16\right)\left(8-2x\right)=0\)

\(\Leftrightarrow\hept{\begin{cases}4x-16=0\\8-2x=0\end{cases}\Leftrightarrow\hept{\begin{cases}4x=16\\-2x=-8\end{cases}\Leftrightarrow}\hept{\begin{cases}x=4\\x=4\end{cases}}}\)

Câu 4:

(  2- x ) . ( 5 - x ) = 0

=> 2 - x = 0 hoặc 5 - x = 0

=> x = 2 hoặc x = 5

Vậy x \(\in\){ 2 ; 5 }

Cậu 5:

( 4x - 16 ) . ( 8 - 2x ) = 0

=> 4x - 16 = 0 hoặc 8 - 2x = 0

=> 4x = 16 hoặc 2x = 8

=> x = 4 hoặc x = 4

Vậy x = 4

câu 4 

a)x=2;x=5

câu5

x=4;

~~~~~~~~~ai đi ngang qua nhớ để lại ti k ~~~~~~~~~~~

a, (17x-25):8=81-65

(17x-25):8=16

17x-25=16:8

17x-25=2

17x=2+25

17x=27

x=27:17

x=27/17

b,720:[41-(2x-5)]=40

41-(2x-5)=720:40

41-(2x-5)=18

2x-5=41-18

2x-5=23

2x=23+5

2x=28

x=28:2

x=14

c,231-(x-6)=103

x-6=231-103

x-6=128

x=128+6

x=134

XEM LẠI GIÙM MÌNH BẠN NHA!

đề bài: (17x-25):8+65= 81

     (17x-25):8=81-65=16

      17x-25= 16 . 8= 128

     17x = 128+25=153

         x = 153:17=9

b, Đề bài 720:[41-(2x-5)]=8.5

              720:[41-(2x-5)]=40

            41-(2x-5)=720:40=18

                2x-5=41-18=23

               2x = 23+5=28

                 x = 28:2= 14

c, 231-(x-6)=1339:13=103

    x-6=231-103=128

     x= 128 + 6= 134

Đúng thì **** bạn