`2x-15 = 17``

`=> 2x  = 17 + 15`

`=>  2x = 32`

`=>    X = 32 : 2`

`=>    x = 16`

`156 - (x + 61) = 82`

`=>      x + 61  = 156 - 82`

`=>      x + 61   = 74`

`=>       x           = 13`

`2x - 138 = 2^3 . 3^2`

`=>2x - 138 = 72`

`=>  2x        = 210`

`=>   x         = 105`

bài 2:

`23-3x = 8`

`=>  3x = 23 - 8`

`=>   3x = 15`

`=>     x  = 5`

`(x-35) - 120 = 0`

`=>(x-35)      = 120`

`=> x            = 120  +35`

`=>  x           = 155`

`3^x + 2 = 29`

`=>  3^x = 27`

`=>  3^x = 3^3`

`=> x      = 3` 

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

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

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

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

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

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

x = 0 hoặc x +3 = 0

=> x = 0 hoặc x = -3

Vậy ...

x(x+3)=0

=> x=0 hoặc x=-3

=> x thuộc { 0; 3}

`a)`

`(x - 14) - 20 = 0`

`=> x - 14 = 0 + 20`

`=> x - 14 = 20`

`=> x = 20 + 14`

`=> x = 34`

Vậy, `x = 34.`

Bài 1: 

a) Ta có: \(\dfrac{17}{6}-x\left(x-\dfrac{7}{6}\right)=\dfrac{7}{4}\)

\(\Leftrightarrow\dfrac{17}{6}-x^2+\dfrac{7}{6}x-\dfrac{7}{4}=0\)

\(\Leftrightarrow-x^2+\dfrac{7}{6}x+\dfrac{13}{12}=0\)

\(\Leftrightarrow-12x^2+14x+13=0\)

\(\Delta=14^2-4\cdot\left(-12\right)\cdot13=196+624=820\)

Vì Δ>0 nên phương trình có hai nghiệm phân biệt là:

\(\left\{{}\begin{matrix}x_1=\dfrac{14-2\sqrt{205}}{-24}=\dfrac{-7+\sqrt{205}}{12}\\x_2=\dfrac{14+2\sqrt{2015}}{-24}=\dfrac{-7-\sqrt{205}}{12}\end{matrix}\right.\)

b) Ta có: \(\dfrac{3}{35}-\left(\dfrac{3}{5}-x\right)=\dfrac{2}{7}\)

\(\Leftrightarrow\dfrac{3}{5}-x=\dfrac{3}{35}-\dfrac{10}{35}=\dfrac{-7}{35}=\dfrac{-1}{5}\)

hay \(x=\dfrac{3}{5}-\dfrac{-1}{5}=\dfrac{3}{5}+\dfrac{1}{5}=\dfrac{4}{5}\)

ai giúp mik vs

Bài 3: 

a) Ta có: \(2x-3=x+\dfrac{1}{2}\)

\(\Leftrightarrow2x-x=\dfrac{1}{2}+3\)

\(\Leftrightarrow x=\dfrac{7}{2}\)

b) Ta có: \(4x-\left(x+\dfrac{1}{2}\right)=2x-\left(\dfrac{1}{2}-5\right)\)

\(\Leftrightarrow3x-\dfrac{1}{2}-2x+\dfrac{1}{2}-5=0\)

\(\Leftrightarrow x=5\)

a) \(\left|x\right|=x\\ \left|-\dfrac{4}{7}\right|=\dfrac{4}{7}\)

\(\dfrac{1}{2}=\dfrac{x}{-4}\\ \Rightarrow x=\dfrac{1.\left(-4\right)}{2}=\dfrac{-4}{2}=-2\)

=>x/-4=1/2

hay x=-2

\(a,\dfrac{1}{2}=\dfrac{x}{-4}\\ \Rightarrow1.\left(-4\right)=2.x=-4\\ \Rightarrow2.x=-4\\ \Rightarrow x=-4:2\\ \Rightarrow x=-2\)

a) x= + - 5
b) x\(\in\)\(\left\{-1;-7\right\}\)

a/ \(x^2-25=0\)

\(\Rightarrow\left(x+5\right)\left(x-5\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+5=0\Rightarrow x=-5\\x-5=0\Rightarrow x=5\end{matrix}\right.\)

b/ \(x\left(x+7\right)+x+7=0\)

\(x\left(x+7\right)+\left(x+7\right)=0\)

\(\left(x+7\right)\left(x+1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x+7=0\Rightarrow x=-7\\x+1=0\Rightarrow x=-1\end{matrix}\right.\)

a) x^2 - 25 = 0 <=> (x + 5)(x - 5) = 0

<=> x = -5 hoặc x = 5

b) x(x + 7) + x + 7 = 0 <=> (x + 7)(x + 1) = 0

<=> x = -7 hoặc x = -1

(x-1)/3 = -27

=> x-1 = (-27) . 3 = - 81

=> x = (-81)+1 = -80

a) x-12=-15
x=-15+12
x=-3
b) 123-5(x+4)=38
5(x+4)=123-38
5(x+4)=85
x+4=85:5=17
x=17-4
x=13

\(a.x-12=-15\)                    \(b.123-5.\left(x+4\right)=38\)

\(x=\left(-15\right)+12\)                        \(5.\left(x+4\right)=123-38\)

\(x=-3\)                                      \(5.\left(x+4\right)=85\)           

                                                   \(x+4=85:5=17\)

                                                    \(x=17-4=13\)

a) x-12=-15
x=-15+12
x=-3
b) 123-5(x+4)=38
5(x+4)=123-38
5(x+4)=85
x+4=85:5=17
x=17-4
x=13

a) (x - 6)² = 9

\(\Rightarrow\left[{}\begin{matrix}x-6=3\\x-6=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9\\x=3\end{matrix}\right.\)

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