`1)(x+2)(x+3)(x-7)(x-8)=144`
`<=>[(x+2)(x-7)][(x+3)(x-8)]=144`
`<=>(x^2-5x-14)(x^2-5x-24)=144`
`<=>(x^2-5x-19)^2-25=144`
`<=>(x^2-5x-19)^2-169=0`
`<=>(x^2-5x-6)(x^2-5x-32)=0`
`+)x^2-5x-6=0`
`<=>` $\left[ \begin{array}{l}x=6\\x=-1\end{array} \right.$
`+)x^2-5x-32=0`
`<=>` $\left[ \begin{array}{l}x=\dfrac{5+3\sqrt{17}}{2}\\x=\dfrac{5-3\sqrt{17}}{2}\end{array} \right.$
Vậy `S={-1,6,\frac{5+3\sqrt{17}}{2},\frac{5-3\sqrt{17}}{2}}`

1: Ta có: \(\left(x+2\right)\left(x+3\right)\left(x-7\right)\left(x-8\right)=144\)

\(\Leftrightarrow\left(x^2-7x+2x-14\right)\left(x^2-8x+3x-24\right)=144\)

\(\Leftrightarrow\left(x^2-5x-14\right)\left(x^2-5x-24\right)-144=0\)

\(\Leftrightarrow\left(x^2-5x\right)^2-38\left(x^2-5x\right)+336-144=0\)

\(\Leftrightarrow\left(x^2-5x\right)^2-38\left(x^2-5x\right)+192=0\)

\(\Leftrightarrow\left(x^2-5x\right)^2-6\left(x^2-5x\right)-32\left(x^2-5x\right)+192=0\)

\(\Leftrightarrow\left(x^2-5x\right)\left(x^2-5x-6\right)-32\left(x^2-5x-6\right)=0\)

\(\Leftrightarrow\left(x^2-5x-6\right)\left(x^2-5x-32\right)=0\)

\(\Leftrightarrow\left(x-6\right)\left(x+1\right)\left(x^2-5x-32\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x-6=0\\x+1=0\\x^2-5x-32=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-1\\x=\dfrac{5-3\sqrt{17}}{2}\\x=\dfrac{5+3\sqrt{17}}{2}\end{matrix}\right.\)

Vậy: \(S=\left\{6;-1;\dfrac{5-3\sqrt{17}}{2};\dfrac{5+3\sqrt{17}}{2}\right\}\)

`2)(6x+5)^2(3x+2)(x+1)=35`
`<=>12(6x+5)^2(3x+2)(x+1)=420`
`<=>(6x+5)^2+(6x+4)(6x+6)=420`
Đặt `6x+5=a` 
`pt<=>a^2(a+1)(a-1)=420`
`<=>a^2(a^2-1)-420=0`
`<=>a^4-a^2-420=0`
`<=>` $\left[ \begin{array}{l}a^2=-20(False)\\a^2=21(True)\end{array} \right.$
`<=>` $\left[ \begin{array}{l}a=\sqrt{20}\\a=-\sqrt{20}\end{array} \right.$
`<=>` $\left[ \begin{array}{l}6x+5=\sqrt{20}\\6x+5=-\sqrt{20}\end{array} \right.$
`<=>` $\left[ \begin{array}{l}x=\dfrac{\sqrt{20}-5}{6}\\x=\dfrac{-\sqrt{20}-5}{6}\end{array} \right.$
Vậy `S={\frac{\sqrt{20}-5}{6},\frac{-\sqrt{20}-5}{6}}`

1) x-12=(-8)+(-17)
    x-12=(-25)
    x      = (-25)+12
    x      = (-13)

a) 297 : ( x - 5 ) = 33

               x - 5    = 297 : 33

              x - 5     = 9

              x          = 9 + 5

              x          = 14

a, 297 : (x-5) = 33

              x-5   = 297 : 33

              x-5   = 9

              x      = 9 + 5

              x      = 14

b, x*5 + x*7 + x*8 = 680

    x*(5+7+8) = 680

    x*20 = 680

    x       = 680 : 20

    x       = 34

\(x\times5+x\times7+x\times8=680\)

\(x\times\left(5+7+8\right)=680\)

\(x\times20=680\)

\(x=680:20\)

\(x=34\)

\(x=\left(\dfrac{5}{8}+\dfrac{3}{4}\right)\times\dfrac{2}{3}=\dfrac{11}{12}\)

X x 2/3 = 5/8 + 3/4

X x 2/3 = 5/8 + 6/8

X x 2/3 = 11/8

X = 11/8 : 2/3

X = 11/8 x 3/2

X = 33/16

X x 2/3 = 5/8 + 3/4

X x 2/3 = 11/8

x = 11/8 : 2/3

x = 33/16

vậy x = ...

1)  10 - 3 ( x - 1 ) = -5

      3 ( x - 1 ) = 10 - ( - 5 )

      3 ( x - 1 ) =  15

          x - 1   = 15 : 3

          x - 1   = 5

         x         = 5 + 1

        x         = 6

2) 3x + 75 = - 15

    3x        = - 15 - 75

    3x        = - 90

      x       = -90 : 3

     x        = -30

4)  12 - ( x - 7 ) = - 8

             x - 7   = 12 - (- 8 )

             x - 7   = 20

             x        = 20 + 7

            x         = 27

5)  x + 75 = 15

    x         = 15 - 75

    x         = -60

7)  2x + 18 = 10

     2x        = 10 - 18

     2x        = -8

       x        = - 8 : 2

       x       = -4

8)  26 - 3x = 5

            3x = 26 - 5

            3x = 21

              x  = 21: 3

              x = 7

9) x - 12 = - 15

    x       = -15 + 12

   x         =-3

 10 ) 24 - 2 ( x + 5 ) = 38

              2 ( x+ 5 )  = 24 - 38

              2 ( x + 5 ) = - 14

                  x + 5    = -14 : 2

                  x + 5    = -7

                  x          = -7 - 5

                  x          = -12

còn là bạn tự làm tiếp nhé ! bạn gửi nhiều cầu qua bạn chỉ nên gửi ít một thời như vậy khó có thể giải làm bạn ạ!

25 - 5 (3- x) = 15 

25 - 5 (3-x) = 15  

      5 (3-x) = 25 -15 

      5 (3-x) = 10 

     3 - x = 10 : 5 

    3 - x = 2 

         x = 3 - 2 

          x = 1

=> 72 - 20x - 36x - 84 = 30x - 240 - 6x + 84

=> (72 - 84 )  - (20x + 36x ) = (30x - 6x ) - 240 + 84

=> -12 - 56x = 24x - 156

=> -12 + 156 = 24x + 56x 

=> 144 = 80x

=> x = 144  : 80

=> x = 9/5

=> 72 - 20x - 36x - 84 = 30x - 240 - 6x + 84

=> (72 - 84 )  - (20x + 36x ) = (30x - 6x ) - 240 + 84

=> -12 - 56x = 24x - 156

=> -12 + 156 = 24x + 56x 

=> 144 = 80x

=> x = 144  : 80

=> x = 9/5

de bai co noi tinh = cách nào ko .

a) 2 x 53 x 12 + 4 x 6 x 83 - 3 x 8 + 40

= (2 x 12) x 53 + ( 4 x 6 ) x 83 - ( 3 x 8 ) + 40

= 24 x 53 + 24 x 83 - 24 + 40

= 1272 + 1992 - 64

= 3264 - 64 = 3200

=

bài b = 420 và bài c = 38400 tớ đang vội hôm sau tớ sẽ trình bày lời giải

a) 4x- 15 = -75 - x

=> 4x + x = -75 + 15

=> 5x = -60

=> x = -60 : 5

=> x = -12

b) 3(x  - 7) = 21

=> x - 7 = 21 : 3

=> x - 7 = 7

=> x = 7 + 7

=> x = 14

c) \(-\frac{3}{6}=\frac{x}{-2}=\frac{-18}{y}=\frac{-z}{24}\)

Ta có: +) \(-\frac{3}{6}=\frac{x}{-2}\) => \(\frac{1}{-2}=\frac{x}{-2}\) => x = 1

+) \(\frac{-3}{6}=\frac{-18}{y}\) => \(\frac{-18}{36}=\frac{-18}{y}\) => y = 36

+) \(-\frac{3}{6}=\frac{-z}{24}\) = > \(\frac{-12}{24}=\frac{-z}{24}\) => -z = -12 => z = 12

d) \(-\frac{8}{3}+\frac{-1}{4}< x< \frac{-2}{7}+\frac{-5}{7}\)

=> \(\frac{-32}{12}-\frac{3}{12}< x< \frac{-2-5}{7}\)

=> \(\frac{-35}{12}< x< -1\)

=> x = -2 (x \(\in\)Z)

a) 4x - 15 = -75 - x

4x + x = -75 + 15

5x  = -60

=> x = -60 : 5 = -12