c) \(x^2-9=2\cdot\left(x+3\right)^2\)

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

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

\(\Leftrightarrow\left(x+3\right)\left(x-3-2x-6\right)=0\)

\(\Leftrightarrow\left(x+3\right)\left(-x-9\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-9\end{matrix}\right.\)

b) \(x^3-3x^2+3x-1=0\)

\(\Leftrightarrow x^3-3\cdot x^2\cdot1+3\cdot x\cdot1^2-1^3=0\)

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

\(\Leftrightarrow x-1=0\)

\(\Leftrightarrow x=1\)

d) \(x^2-8x+3x-24=0\)

\(\Leftrightarrow\left(x^2-8x\right)+\left(3x-24\right)=0\)

\(\Leftrightarrow x\left(x-8\right)+3\left(x-8\right)=0\)

\(\Leftrightarrow\left(x+3\right)\left(x-8\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\x-8=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=8\end{matrix}\right.\)

a) \(x^2-9=2\left(x+3\right)^2\)

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

\(\Leftrightarrow2\left(x+3\right)^2-\left(x+3\right)\left(x-3\right)=0\)

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

\(\Leftrightarrow\left(x+3\right)\left[2x+6-x+3\right]=0\)

\(\Leftrightarrow\left(x+3\right)\left(x+9\right)=0\)

\(\)\(\Leftrightarrow\left[{}\begin{matrix}x+3=0\\x+9=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=-3\\x=-9\end{matrix}\right.\)

b) \(x^2-8x+3x-24=0\)

\(\Leftrightarrow\left(x-8\right)x+3\left(x-8\right)=0\)

\(\Leftrightarrow\left(x-8\right)\left(x+3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x-8=0\\x+3=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=8\\x=-3\end{matrix}\right.\)

c) \(x^3-3x^2+3x-1=0\)

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

\(\Leftrightarrow x-1=0\)

\(\Leftrightarrow x=1\)

dmm

a: \(\left(x+1\right)^3+\left(x-2\right)^3=2x^3+2\left(2x-1\right)^2-9\)

\(\Leftrightarrow x^3+3x^2+3x+1+x^3-6x^2+12x-8=2x^3+2\left(4x^2-4x+1\right)-9\)

\(\Leftrightarrow2x^3-3x^2+15x-7=2x^3+8x^2-8x-7\)

\(\Leftrightarrow-11x^2+23x=0\)

\(\Leftrightarrow x\left(-11x+23\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{23}{11}\end{matrix}\right.\)

\(x^3-2x^2+x-2=0\\ \Leftrightarrow x^2\left(x-2\right)+\left(x-2\right)=0\\ \Leftrightarrow\left(x^2+1\right)\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x^2+1=0\\x-2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x^2=-1\left(vô.lí\right)\\x=2\end{matrix}\right.\\ Vậy:x=2\\ ---\\ 2x\left(3x-5\right)=10-6x\\ \Leftrightarrow6x^2-10x-10+6x=0\\ \Leftrightarrow6x^2-4x-10=0\\ \Leftrightarrow6x^2+6x-10x-10=0\\ \Leftrightarrow6x\left(x+1\right)-10\left(x+1\right)=0\\ \Leftrightarrow\left(6x-10\right)\left(x+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}6x-10=0\\x+1=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=-1\end{matrix}\right.\)

\(4-x=2\left(x-4\right)^2\\ \Leftrightarrow4-x=2\left(x^2-8x+16\right)\\ \Leftrightarrow2x^2-16x+32+x-4=0\\ \Leftrightarrow2x^2-15x+28=0\\ \Leftrightarrow2x^2-8x-7x+28=0\\ \Leftrightarrow2x\left(x-4\right)-7\left(x-4\right)=0\\ \Leftrightarrow\left(2x-7\right)\left(x-4\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x-7=0\\x-4=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{2}\\x=4\end{matrix}\right.\\ ---\\ 4-6x+x\left(3x-2\right)=0\\ \Leftrightarrow4-6x+3x^2-2x=0\\ \Leftrightarrow3x^2-8x+4=0\\ \Leftrightarrow3x^2-6x-2x+4=0\\ \Leftrightarrow3x\left(x-2\right)-2\left(x-2\right)=0\\ \Leftrightarrow\left(3x-2\right)\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}3x-2=0\\x-2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=2\end{matrix}\right.\)

24 : ( 3x -2 ) = -3

       ( 3x - 2 ) = 24 : -3 

       ( 3x -2 ) = -8

       3x          = -8 + 2

       3x          = -6

         x          = -6 : 3

         x           = -2

3x-2 = 24: (-3)

3x-2 = -8

3x = (-8) +2

3x = -6

x = -6:3

x = -2

c) 24 : (3x - 2) = -3

            3x - 2  = 24 : (-3)
            3x - 2  = -8

            3x      = (-8) + 2

            3x      = -6

              x      = (-6) : 3

              x      = -2

12 - 2(4 - 3x) = -4

        2(4 - 3x) =-4+12

        2(4 - 3x) =  8

            4 - 3x  = 8 : 2

            4 - 3x  = 4

                 3x  = 4 - 4 

                 3x  =  0

                  x   = 0 : 3

                  x   =  0

Vậy x = 0

Đợi mk chút xíu tý mk giải nốt

 Tk cho mk nha

   Mk cảm ơn 

Trả lời :

a, = 0

Hok tốt nhé bạn ((:

b)24 : (3x - 2) = -3                                                                    

       3x - 2    = 24 : -3

       3x - 2    =   -8

       3x          =  -8 + 2

       3x          =     -6

         x          =    -6 : 3

        x           =       -2

Vậy x = -2

Tk cho mk nha

   Mk cảm ơn

\(2\left(x-1\right)+3\left(3x-2\right)=x-4\)

\(2x-2+9x-6=x-4\)

\(2x+9x-x-2-6=-4\)

\(10x-2-6=-4\)

\(10x-2=2\)

\(10x=4\)

\(x=\frac{2}{5}\)

Vậy \(x=\frac{2}{5}\)

\(3\left(4-x\right)-2\left(x-1\right)=x+20\)

\(12-3x-2x+2=x+20\)

\(12-5x+2=x+20\)

\(12-5x-x+2=20\)

\(12-6x+2=20\)

\(12-6x=18\)

\(6x=-6\)

\(x=-1\)

Vậy \(x=-1.\)

\(4\left(2x+7\right)-3\left(3x-2\right)=24\)

\(8x+28-9x+6=24\)

\(8x-9x+28+6=24\)

\(-x+34=24\)
\(-x=-10\)

\(x=10\)

Vậy \(x=10\)

\(3\left(x-2\right)+2x=10\)

\(3x-6+2x=10\)

\(3x+2x-6=10\)
\(5x=16\)

\(x=\frac{16}{5}\)

Vậy \(x=\frac{16}{5}\)

2(x-1)+3(3x-2)=x-4

=>2x-2=9x-6-x+4=0

=>10x-4=0

=>x=\(\frac{2}{5}\)

3(4-x)-2(x-1)=x+20

=>12-3x-2x+2-x-20=0

=>-6x-6=0

=>-6(x-1)=0

=>x-1=0

=>x=1

a) 4(2x+7)-3(3x-2)=24

8x+28-9x-6=24

(8x-9x)+(28-6)=24

(-1)x+22=24

(-1)x=24-22=2

x=2:(-1)=-2

b) -2(x+3)+(-4)²=3(1-x)

(-2)x+(-6)+16=3-3x

(-2)x+(-6)+16+3x=3

[(-2)x+3x]+[(-6)+16]=3

x+10=3

x=3-10=-7

a: =>(x-5)(x+5)+(x-5)(3x-15)=0

=>(x-5)(x+5+3x-15)=0

=>(x-5)(4x-10)=0

=>x=5 hoặc x=5/2

c: =>x^3-3x^2+2x^2-6x-8x+24=0

=>(x-3)(x^2+2x-8)=0

=>(x-3)(x+4)(x-2)=0

=>\(x\in\left\{3;-4;2\right\}\)