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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation X-3700*11/6.78-8000*6.9/6.78*11-0.04X-(150+314+920+20+50+15+100+600)*11/6.78-5283880/6.78+(X-8000*6.9/6.78*11)*0.13 = 3000000/6.78 .
    Question type: Equation
    Solution:Original question:

X

−

3700

×

11

÷

339 50

−

8000

×

69 10

÷

339 50

×

11

−

1 25

X

−

(

150

+

314

+

920

+

20

+

50

+

15

+

100

+

600

)

×

11

=

3000000

÷

339 50

Left side of the equation =

X

−

2035000 339

−

10120000 113

−

1 25

X

−

(

150

+

314

+

920

+

20

+

50

+

15

+

100

+

600

)

×

550 339

−

2338000 3

+

(

X

−

8000

×

69 10

÷

339 50

×

11

)

×

13 100

=

24 25

X

−

98863000 113

−

(

150

+

314

+

920

+

20

+

50

+

15

+

100

+

600

)

×

550 339

+

(

X

−

8000

×

69 10

÷

339 50

×

11

)

×

13 100

    The equation is transformed into :

24 25

X

−

98863000 113

−

(

150

+

314

+

920

+

20

+

50

+

15

+

100

+

600

)

×

550 339

+

(

X

−

8000

×

69 10

÷

339 50

×

11

)

×

13 100

=

3000000

÷

339 50

    Remove the bracket on the left of the equation:

Left side of the equation =

24 25

X

−

98863000 113

−

150

×

550 339

−

314

×

550 339

−

920

×

550 339

−

20

×

550 339

−

50

=

24 25

X

−

98863000 113

−

27500 113

−

172700 339

−

506000 339

−

11000 339

−

27500 339

−

2750 113

−

55000 339

−

110000 113

+

(

X

−

8000

×

69 10

÷

339 50

×

11

)

    
        X≈1222507.509945 , keep 6 decimal places    
    There are 1 solution(s).

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