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`(3x+2)*(x+4)-(3x-1)*(x-5)=0`

\(\Leftrightarrow3x\left(x+4\right)+2\left(x+4\right)-3x\left(x-5\right)+1\left(x-5\right)=0\)

\(\Leftrightarrow3x^2+3x\cdot4+2x+2\cdot4-3x^2+3x\cdot5+x-5=0\)

\(\Leftrightarrow3x^2+12x+2x+8-3x^2+15x+x-5=0\)

\(\Leftrightarrow\left(3x^2-3x^2\right)+\left(12x+2x+15x+x\right)+\left(8-5\right)=0\)

\(\Leftrightarrow30x+3=0\)

\(\Leftrightarrow30x=0-3\)

`=> 30x=-3`

`-> x=-3 \div 30`

`-> x=-1/10 `

9 tháng 7 2017

Ai chẳng biết chuyển vế đổi dấu :v

a) \(x-7=4x+10\)

\(x-4x=10+7\)

\(-3x=17\)

\(x=\dfrac{17}{-3}\)

Vậy \(x=\dfrac{17}{-3}\)

b) \(2x+5=-3x+7\)

\(2x+3x=7-5\)

\(5x=2\)

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

Vậy \(x=\dfrac{2}{5}\)

c) \(x-\left(3x+7\right)=6x-1\)

\(x-3x-7=6x-1\)

\(-2x-7=6x+1\)

\(-7-1=6x+2x\)

\(-8=8x\)

\(x=\dfrac{-8}{8}=-1\)

Vậy \(x=-1\)

d) \(x+\left(5x-1\right)=15\)

\(x+5x-1=15\)

\(6x=15+1\)

\(6x=16\)

\(x=\dfrac{16}{6}=\dfrac{8}{3}\)

Vậy \(x=\dfrac{8}{3}\)

9 tháng 7 2017

1 , x - 7 = 4x + 10

x - 4x = 10 + 7

- 3x = 17

x = 17 : ( - 3 )

x = \(\dfrac{-17}{3}\)

2 , 2x + 5 = -3x + 7

2x + 3x = 7 -5

5x = 2

x = 2 : 5

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

3 , x - ( 3x + 7 ) = 6x - 1

x - 3x - 7 = 6x - 1

x - 3x -6x = -1 +7

-8x = 6

x = 6 : ( -8 )

x = \(\dfrac{-3}{4}\)

4 , x + ( 5x -1 ) = 15

x + 5x - 1 = 15

x + 5x = 15 + 1

6x = 16

x = 16 : 6

x = \(\dfrac{8}{3}\)

5 , / x + 1 / = / 2x - 5 /

TH 1 : x + 1 = 2x - 5

x - 2x = -5 -1

- x = -4

= > x = 4

TH 2 : -x -1 = -2x + 5

-x + 2x = 5 + 1

x = 6

6 , / 3x + 8 / - / x -10 / = 0

3x + 8 - x + 10 = 0

3x - x = 0 - 10 - 8

2 x = -18

x = -18 : 2

x = - 9

27 tháng 8 2020

Nhìn đề thiếu vậy nên thôi xin phép sửa đề nhé, nếu sai thì ib lm lại:)

a) \(\left(x-2\right)^2-\left(x-3\right)\left(x-5\right)\)

\(=x^2-4x+4-x^2+8x-15\)

\(=4x-11\)

b) \(\left(3x-1\right)^2-\left(3x-2\right)\left(3x-2\right)\)

\(=9x^2-6x+1-9x^2+12x-4\)

\(=6x-3\)

1 tháng 12 2021

dấu [] là giá trị tuyệt đối nha

 

17 tháng 7 2019

a) 3/2.|x - 5/3| - 4/5 = 4/3.|x - 5/3| + 1

<=> 3/2.|x - 5/3| = 4/3.|x - 5/3| + 1 + 4/5

<=> 3/2.|x - 5/3| = 9/5 + 4|x - 5/3|/3

<=> 3/2.|x - 5/3| - 4.|x - 5/3|/3 = 9/5

<=> |x - 5/3|/6 = 9/5

<=> |x - 5/3| = 9/5.6

<=> |x - 5/3| = 54/5

<=> x - 5/3 = 54/5 hoặc x - 5/3 = -54/5

       x = 54/5 + 5/3         x = -54/5 - 5/3

       x = 187/15              x = -137/15

b) 2.|3x + 1| = 1/3.|3x + 1| + 5

<=> 2.|3x + 1| - 1/3.|3x + 1| = 5

<=> 5/3.|3x + 1| = 5

<=> 5.|3x + 1| = 5.3

<=> 5.|3x + 1| = 15

<=> |3x + 1| = 15 : 5

<=> |3x + 1| = 3

       3x + 1 = 3 hoặc 3x + 1 = -3 

       3x = 3 - 1           3x = -3 - 1

       3x = 2                3x = -4

       x = 2/3               x = -4/3

=> x = 2/3 hoặc x = -4/3

c) làm tương tự câu a) mình hơi lời

17 tháng 7 2019

Làm câu c) cho

\(\frac{1}{4}-\frac{5}{2}\left|3x-\frac{1}{5}\right|=\frac{2}{3}\left|3x-\frac{1}{5}\right|-\frac{2}{3}\)

\(\Leftrightarrow\frac{1}{4}+\frac{2}{3}=\frac{2}{3}\left|3x-\frac{1}{5}\right|+\frac{5}{2}\left|3x-\frac{1}{5}\right|\)

\(\Leftrightarrow\frac{3}{12}+\frac{8}{12}=\left|3x-\frac{1}{5}\right|\left(\frac{2}{3}+\frac{5}{2}\right)\)

\(\Leftrightarrow\left|3x-\frac{1}{5}\right|\left(\frac{4}{6}+\frac{15}{6}\right)=\frac{11}{12}\)

\(\Leftrightarrow\frac{19}{6}\left|3x-\frac{1}{5}\right|=\frac{11}{12}\)

\(\Leftrightarrow\left|3x-\frac{1}{5}\right|=\frac{11}{12}.\frac{6}{19}\)

\(\Leftrightarrow\left|3x-\frac{1}{5}\right|=\frac{11}{38}\)

\(\Leftrightarrow\orbr{\begin{cases}3x-\frac{1}{5}=\frac{11}{38}\\3x-\frac{1}{5}=-\frac{11}{38}\end{cases}}\)

Giải tiếp nha

3 tháng 8 2023

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

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

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

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

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

\(\Rightarrow\left[{}\begin{matrix}x-4=0\\x-1=0\\x-2=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=4\\x=1\\x=2\end{matrix}\right.\)

c) \(2x\left(3x-1\right)-3x\left(5+2x\right)=0\)

\(\Rightarrow x\left[2\left(3x-1\right)-3\left(5+2x\right)\right]=0\)

\(\Rightarrow x\left(6x-2-15-6x\right)\)

\(\Rightarrow-16x=0\)

\(\Rightarrow x=0\)

d) \(\left(3x-2\right)\left(3x+2\right)-4\left(x-1\right)=0\)

\(\Rightarrow9x^2-4-4x+4=0\)

\(\Rightarrow9x^2-4x=0\)

\(\Rightarrow x\left(9x-4\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\9x-4=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{4}{9}\end{matrix}\right.\)

3 tháng 8 2023

\(a,\left(2x-3\right)\left(2x+3\right)=0\Leftrightarrow\left[{}\begin{matrix}2x-3=0\\2x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{3}{2}\end{matrix}\right.\\ b,\left(x-4\right)\left(x-1\right)\left(x-2\right)=0\Leftrightarrow\left[{}\begin{matrix}x-4=0\\x-1=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=1\\x=2\end{matrix}\right.\)

a: =3x^3-15x^2+21x

b: =-x^3+6x^2+5x-4x^2-24x-20

=-x^3+2x^2-19x-20

c: =9x^2+15x-3x-5-7x^2-14

=2x^2+12x-19

d: =10x^2-4x+2/3

31 tháng 3 2018

1) A(x) = 3x - 2x+ x3 + 5 = x3 - 2x2 + 3x + 5

    B(x) = x3 - x + 3x4 + 5 - x = 3x+ 3x- x - x + 5 = 3x+ 3x- 2x + 5

2) A(x) + B(x) = ( x3 - 2x2 + 3x + 5 ) + ( 3x+ 3x- 2x + 5 )

                       =  x3 - 2x2 + 3x + 5   +   3x+ 3x- 2x + 5

                       =  3x4 + x3 + 3x- 2x+ 3x - 2x + 5 + 5 = 3x4 + 4x- 2x+ x + 10

3) A(x) - B(x) = ( x3 - 2x2 + 3x + 5 ) - ( 3x+ 3x- 2x + 5 )

                     = x- 2x2 + 3x + 5 - 3x4 - 3x+ 2x - 5

                     = -3x+ x- 3x3 - 2x2 + 3x + 2x + 5 - 5

                     =  -3x4 - 2x3 - 2x2 + 5x

22 tháng 9 2018

* Trả lời:

\(\left(1\right)\) \(-3\left(1-2x\right)-4\left(1+3x\right)=-5x+5\)

\(\Leftrightarrow-3+6x-4-12x=-5x+5\)

\(\Leftrightarrow6x-12x+5x=3+4+5\)

\(\Leftrightarrow x=12\)

\(\left(2\right)\) \(3\left(2x-5\right)-6\left(1-4x\right)=-3x+7\)

\(\Leftrightarrow6x-15-6+24x=-3x+7\)

\(\Leftrightarrow6x+24x+3x=15+6+7\)

\(\Leftrightarrow33x=28\)

\(\Leftrightarrow x=\dfrac{28}{33}\)

\(\left(3\right)\) \(\left(1-3x\right)-2\left(3x-6\right)=-4x-5\)

\(\Leftrightarrow1-3x-6x+12=-4x-5\)

\(\Leftrightarrow-3x-6x+4x=-1-12-5\)

\(\Leftrightarrow-5x=-18\)

\(\Leftrightarrow x=\dfrac{18}{5}\)

\(\left(4\right)\) \(x\left(4x-3\right)-2x\left(2x-1\right)=5x-7\)

\(\Leftrightarrow4x^2-3x-4x^2+2x=5x-7\)

\(\Leftrightarrow-x-5x=-7\)

\(\Leftrightarrow-6x=-7\)

\(\Leftrightarrow x=\dfrac{7}{6}\)

\(\left(5\right)\) \(3x\left(2x-1\right)-6x\left(x+2\right)=-3x+4\)

\(\Leftrightarrow6x^2-3x-6x^2-12x=-3x+4\)

\(\Leftrightarrow-15x+3x=4\)

\(\Leftrightarrow-12x=4\)

\(\Leftrightarrow x=-\dfrac{1}{3}\)

14 tháng 4 2022

a)\(P\left(x\right)=x^4+3\)

b)\(Q\left(x\right)=-x^3-2x^2-14x-1\)