mình sửa đề chút nha!   

     4x^2 - 25 - (2x - 5)(2x + 7) = 0

<=>(2x - 5)(2x + 5) - (2x - 5)(2x + 7) = 0

<=>(2x - 5)(2x + 5 - 2x -7) = 0

<=> -2(2x - 5) = 0

<=> -4x + 10 = 0

<=>  -4x        = -10

<=>         x    = 5/2  

câu1

(3x-1).(1/2x5)=0

=>3x-1=0               hoặc  1/2x5=0

=>x=1/3                            =>x=0

câu2

1/4+1/3 :(2x-1)=5

=> 1/3:(2x-1)=19/4

=>2x-1       =57/4

=>2x=61/4

=>x=61/8

còn hai câu sau bn ghi đề mik ko hỉu

1.

a)(3x-1)(1/2x5)=0

=>3x-1=0 hoặc 1/2x5=0

3x=0+1               x=0:1/2:5

x=1/3                  x=0

Vậy x=1/3 hoặc x=0

b)1/4+1/3:(2x-1)=5

1/3:(2x-1)=5-1/4=20/4-1/4=19/4

2x-1=1/3:19/4=1/3*4/19=4/57

2x=4/57+1=4/57+57/57=61/57

x=61/57:2=61/57*1/2=61/114

Vậy x=61/114

c)(2x+2/5)^2-9/25=0=0^2-9/25

=>2x+2/5=0

2x=0-2/5

x=-2/5:2=-2/5*1/2

x=-1/5

Vậy x=-1/5

d)(3x-1/2)^3+1/9=0=0^3+1/9

=>3x-1/2=0

3x=0+1/2

x=1/2:3=1/2*1/3

x=1/6

Vậy x=1/6

  4x^2-25-(2x-5)(2x+7)=0 
<=> 4x^2 - 25 - (4x^2 + 14x - 10x - 35) = 0 
<=> 4x^2 - 25 - 4x^2 - 14x + 10x + 35 = 0 
<=> -4x + 10 = 0 
<=> x = -10/-4 
<=> x = 5/2

  4x^2-25-(2x-5)(2x+7)=0 
<=> 4x^2 - 25 - (4x^2 + 14x - 10x - 35) = 0 
<=> 4x^2 - 25 - 4x^2 - 14x + 10x + 35 = 0 
<=> -4x + 10 = 0 
<=> x = -10/-4 
<=> x = 5/2

\(4x^2-25-\left(2x-5\right)\left(2x+7\right)=0\\ \Leftrightarrow4x^2-25-\left(4x^2+14x-10x-35\right)=0\\ \Leftrightarrow4x^2-25-4x^2-14x+10x+35=0\\ \Leftrightarrow-4x+10=0\)
\(\Leftrightarrow x=\frac{-10}{-4}\\ \Leftrightarrow x=\frac{5}{2}\)

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

Thiếu rồi

\(\left(5x-2\right)\left(2x+7\right)-4x^2-25=0\)

\(10x+35-4x^2-14x-4x^2+25=0\)

\(-4x+60-8x^2=0\)

\(-4\left(2x^2+x-15\right)=0\)

\(-4\left(2x^2+6x-5x-15\right)=0\)

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

=> \(x\) ∈ \(\left\{\dfrac{5}{2};-3\right\}\)

4x² - 25 - (2x - 5)(2x + 7) = 0

<=> (2x)² - 5² - (2x - 5)(2x + 7) = 0

<=> (2x - 5)(2x + 5) - (2x - 5)(2x + 7) = 0

<=> (2x - 5)(2x + 5 - 2x - 7) = 0

<=> (2x - 5) . (-2) = 0

<=> 2x - 5 = 0

<=> 2x = 5

<=> x = 5/2

8x²+30x+7=0

 8x²+16x+14x+7=0

8x(x+2) +7(x+2)=0

(8x+7)(x+2)=0

=>\(\orbr{\begin{cases}8x+7=0\\x+2=0\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{7}{8}\\x=-2\end{cases}}}\)

a)

4x²-8x+4=2(1-x)(x+1)

4x²-8x+4-2+2x²=0

6x²-8x+2=0

2(3x²-4x+1)=0

3x²-3x-x+1=0

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

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

\(\Rightarrow\orbr{\begin{cases}3x-1=0\\x-1=0\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=1\end{cases}}}\)