a , x.(2x+7)=0

(=) x = 0

     2x + 7 = 0 

(=) x = 0

     2x = -7

(=) x = 0

      x = -7/2

Mấy câu bạn hỏi có người hỏi rồi bạn tự tham khảo nhé

`x(2x+7)=0`

`<=>x=0` hoặc `2x+7=0`

`<=>x=0` hoặc `x=-7/2`

`x(2x+7)>0`

\(< =>\left[{}\begin{matrix}\left\{{}\begin{matrix}x>0\\2x+7>0\end{matrix}\right.\\\left\{{}\begin{matrix}x< 0\\2x+7< 0\end{matrix}\right.\end{matrix}\right.\\ < =>\left[{}\begin{matrix}\left\{{}\begin{matrix}x>0\\x>-\dfrac{7}{2}\end{matrix}\right.\\\left\{{}\begin{matrix}x< 0\\x< -\dfrac{7}{2}\end{matrix}\right.\end{matrix}\right.\\ < =>\left[{}\begin{matrix}x>0\\x< -\dfrac{7}{2}\end{matrix}\right.\)

`x(2x+7)<0`

\(< =>\left[{}\begin{matrix}\left\{{}\begin{matrix}x>0\\2x+7< 0\end{matrix}\right.\\\left\{{}\begin{matrix}x< 0\\2x+7>0\end{matrix}\right.\end{matrix}\right.\\ < =>\left[{}\begin{matrix}\left\{{}\begin{matrix}x>0\\x< -\dfrac{7}{2}\end{matrix}\right.\left(voli\right)}\\\left\{{}\begin{matrix}x< 0\\x>-\dfrac{7}{2}\end{matrix}\right.\end{matrix}\right.\\ < =>-\dfrac{7}{2}< x< 0\)

a) \(x\left(2x+7\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\2x+7=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=0\\2x=-7\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-\dfrac{7}{2}\end{matrix}\right.\)

b) \(x\left(2x+7\right)>0\)

\(TH1:\left\{{}\begin{matrix}x>0\\2x+7>0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x>0\\x>-\dfrac{7}{2}\end{matrix}\right.\) \(\Leftrightarrow x>0\)

\(TH2:\left\{{}\begin{matrix}x< 0\\2x+7< 0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x< 0\\x< -\dfrac{7}{2}\end{matrix}\right.\) \(\Leftrightarrow x< -\dfrac{7}{2}\)

Vậy \(x>0\) hay \(x< -\dfrac{7}{2}\)

c) \(x\left(2x+7\right)< 0\)

\(TH1:\left\{{}\begin{matrix}x>0\\2x+7< 0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x>0\\x< -\dfrac{7}{2}\end{matrix}\right.\) (Vô lý nên loại)

\(TH2:\left\{{}\begin{matrix}x< 0\\2x+7>0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x< 0\\x>-\dfrac{7}{2}\end{matrix}\right.\) \(\Leftrightarrow-\dfrac{7}{2}< x< 0\)

Vậy \(-\dfrac{7}{2}< x< 0\)

(x - 1)(2x² - 10) = 0

\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\\2x^2-10=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\2x^2=10\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x^2=5\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\sqrt{5}\end{matrix}\right.\)

Vậy phương trình có tập nghiệm là: \(S=\left\{1;\sqrt{5}\right\}\)
(2x - 7)² - 6(2x - 7)(x - 3) = 0

\(\Leftrightarrow\left(2x-7\right)\left(2x-7-6x+18\right)=0\)

\(\Leftrightarrow\left(2x-7\right)\left(11-4x\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x-7=0\\11-4x=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=7\\4x=11\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\frac{7}{2}\\x=\frac{11}{4}\end{matrix}\right.\)

Vậy phương trình có tập nghiệm là: \(S=\left\{\frac{7}{2};\frac{11}{4}\right\}\)
(5x + 3)(x² + 4) = 0

\(\Leftrightarrow\left[{}\begin{matrix}5x+3=0\\x^2+4=0\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}5x=-3\\x^2=-4\left(Loại\right)\end{matrix}\right.\)

\(\Leftrightarrow x=-\frac{3}{5}\)

Vậy phương trình có tập nghiệm là: \(S=\left\{-\frac{3}{5}\right\}\)

a)

\(\left(x-1\right)\cdot\left(2x^2-10\right)=0\\ \Leftrightarrow\left(x-1\right)\cdot2\cdot\left(x^2-5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-1=0\\x^2-5=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=\pm\sqrt{5}\end{matrix}\right.\)

b)

\(\left(2x-7\right)^2-6\cdot\left(6x-7\right)\cdot\left(x-3\right)=0\\ \Leftrightarrow\left(2x-7\right)\cdot\left[\left(2x-7\right)-6\cdot\left(x-3\right)\right]=0\\ \Leftrightarrow\left(2x-7\right)\cdot\left(2x-7-6x+18\right)=0\\ \Leftrightarrow\left(2x-7\right)\cdot\left(11-4x\right)=0\\ \Rightarrow\left[{}\begin{matrix}2x-7=0\\11-4x=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\frac{7}{2}\\x=\frac{11}{4}\end{matrix}\right.\)

c)

\(\left(5x+3\right)\cdot\left(x^2+4\right)=0\)

Vì \(\left(x^2+4\right)>0\Rightarrow\left(loại\right)\)

\(\Rightarrow5x+3=0\\ \Rightarrow x=-\frac{3}{5}\)

1) (x+6)(3x-1)+x+6=0

⇔(x+6)(3x-1)+(x+6)=0

⇔(x+6)(3x-1+1)=0

⇔3x(x+6)=0

2) (x+4)(5x+9)-x-4=0

⇔(x+4)(5x+9)-(x+4)=0

⇔(x+4)(5x+9-1)=0

⇔(x+4)(5x+8)=0

3)(1-x)(5x+3)÷(3x-7)(x-1)

=\(\frac{\left(1-x\right)\left(5x+3\right)}{\left(3x-7\right)\left(x-1\right)}=\frac{\left(1-x\right)\left(5x+3\right)}{\left(7-3x\right)\left(1-x\right)}=\frac{\left(5x+3\right)}{\left(7-3x\right)}\)

a: \(x^2-\dfrac{3}{2}=0\)

nên \(x^2=\dfrac{3}{2}\)

hay \(x\in\left\{\dfrac{\sqrt{6}}{2};-\dfrac{\sqrt{6}}{2}\right\}\)

b: \(\dfrac{1}{2}x^2+\dfrac{7}{2}x=0\)

\(\Leftrightarrow x^2+7x=0\)

=>x(x+7)=0

=>x=0 hoặc x=-7

c: \(2x\left(x-\dfrac{1}{7}\right)=0\)

=>x(x-1/7)=0

=>x=0 hoặc x=1/7

d: (3x-2)(2x-2/3)=0

=>3x-2=0 hoặc 2x-2/3=0

=>3x=2 hoặc 2x=2/3

=>x=2/3 hoặc x=1/3

mk ko bt 123

Suy ra (2x-4)-(3x-3×5)=1 Suy ra(2x-4)-3x+15=1 Suy ra 2x-4-3x+15=1 Suy ra (2x-3x)+(15-4)=1 -1x+11=1 1-11=-1x -1x=-10 X=10

x-3)^2-2(2x-7)(x-3)=0

a, \(\left|2x+5\right|+3=0\Rightarrow\left|2x+5\right|=0-3\Rightarrow\left|2x+5\right|=-3\)

Vì |x|\(\ge0\)\(\forall\)x mà |2x+5|=-3 nên không có giá trị x thỏa mãn

b, \(\left|x\right|-a=0\Rightarrow\left|x\right|=0+a\Rightarrow\left|x\right|=a\Rightarrow x=a;x=-a\)

Bây giờ mk chỉ làm đc 2 phép tính đầu còn phép tính sau lúc nào rảnh mk sẽ giúp nhé

cko mk 2 phép tính đầu nhá

\(x\left(2x-7\right)-3\left(7-2x\right)=0\)

\(\Rightarrow x\left(2x-7\right)+3\left(2x-7\right)=0\)

\(\Rightarrow\left(x+3\right)\left(2x-7\right)=0\)

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

\(\Rightarrow\left[{}\begin{matrix}x=-3\\x=\dfrac{7}{2}\end{matrix}\right.\)

\(\left(3x-5\right)^2-\left(2x-3\right)^2=0\)

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

\(\Rightarrow\left(5x-8\right)\left(x-2\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}5x-8=0\\x-2=0\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{8}{5}\\x=2\end{matrix}\right.\)