Solve fractional equation 3 2X 5 2X 5 4 2X 1 2X 1 7 2X 5 2X 1 15

Solution: (Step 1 to Step 2: Convert the fractional equation into a formal equation; Steps 3 to 6 are simplification).

Original)3 (2x+5)(2x+5)+4 (2x+1)(2x+1)=7 (2x+5)(2x+1).

Step 1) 3 (2x+1) (2x+1) (2x+5) (2x+5) (2x+1) (2x+1) +4 (2x+5) (2x+5) (2x+5) (2x+1) (2x+1) = 7 (2x+5) (2x+1) (2x+5) (2x+5) (2x+1) (2x+1).

Step 2) 3 (2x+1) (2x+1) + 4 (2x+5) (2x+5) = 7 (2x+5) (2x+1).

Step 3) 12x 2 + 12x + 3 + 16x 2 + 80x + 100 = 28x 2 + 84x + 35

Step 4) 28x 2 + 92x + 103 = 28x 2 + 84x + 35

Step 5) 8x=-68

Step 6) x=17 2 or x=

The fifth step of the calculation has a slight feeling of skipping some steps, and you can write it step by step).

When you encounter a lot of denominators, you should first consider eliminating the denominator, multiply both sides of the equation by (2x+5) (2x+5)*(2x+1) (2x+1), and then the denominator is gone, and then it is a simple operation, you can, come on.

3 (2x+5) +4 (2x+1) =7 (2x+5) (2x+1) Let (2x+5) be a and 2x+1) be b

Then the original formula is: 3 a + 4 b = 7 ab

Multiply a b on both sides at the same time

3b²+4a²=7ab

3b²+4a²-7ab=0

4a-3b)(a-b)=0

Bring A and B in.

4（2x+5）-3(2x+1)】【2x+5）-(2x+1)】=04（2x+17)=0

x=17/2

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

x-5）/(2x-3) =4

x-5 = 8x -12

7x = 7

x=1 If you don't understand anything, you can continue to ask this question.

Please select the satisfactory answer in time

:(1)7/(x-2)=5/x

7x=5x-10

2x=-10

x=-52)x/(x-1)+(5x-2)/(x²-x)=1;

x²+5x-2=x²-x

5x+x=2

6x=2x=-1/3

3)2/(x+3)+3/2=7/(2x+6);

4+3x+9=7

3x=7-13

3x=-6x=-2

4)1/(x²+5x+6)=1/(x+2)+1/(x+3).

1/(x+2)(x+3)=1/(x+2)+1/(x+3)1=x+3+x+2

2x=5-1

2x=4x=-2

The original equation x=-2 is meaningless.

There is no solution to the original equation.

(1)5x-10=7x

2x=-10

x=-5 is tested, and x=-5 is the solution of the original equation.

2)x^2+5x-2=x^2-x

6x=2x=1/3

After testing, x=1 3 is the solution of the original equation.

3)4+3x+9=7

3x=-6x=-2

After testing, x=-2 is the solution of the original equation.

4)1=x+3+x+2

2x=-4x=-2

After testing, x=-2 is not the solution of the original equation.

There is no solution to the original equation.

(1)7x=5(x-2) ;7x-5x=10 ; x=-5(2)x²+5x-2=x²-x; x=1/3(3)3/(x+3)=3; x=-2

4)1=x+2+x+3;The x=-2 equation is meaningless, so there is no solution.

Merge similar items: 32x -4x =0, that is, x (8x-1)=0

Solution: x1=0 , x2=1 8

Both sides are formatted together.

x-3)(x-2)-(x-4)(x-1))/((x-1)(x-2))=((x-5)(x-4)-(x-6)(x-3))/((x-3)(x-4))

Solve the molecule and you have it.

2 ((x-1)(x-2))=2 ((x-3)(x-4)) solves: x=5 2

Multiplying (x-1) (x-2) (x-3) (x-4) on both sides at the same time will be a bit redundant and require patience in the solution.

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

x-5）/(2x-3) =4

x-5 = 8x -12

7x = 7

x=1 Autumn Wind Yanyan answers the question for you o( o

If you don't understand anything, you can continue to ask this question.

If you are satisfied, please select the satisfactory answer in time, thank you.