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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation x*1.09+（x*0.8*0.3/2*3.85%）+（x*0.8*0.4/2+（x*0.8*0.3/2*3.85%））*3.85%+（x*0.8*0.3/2+（x*0.8*0.4/2+（x*0.8*0.3/2*3.85%）））*3.85% = 239916.15 .
    Question type: Equation
    Solution:Original question:

x

×

109 100

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

4798323 20

    Remove the bracket on the left of the equation:

Left side of the equation =

109 100

x

+

x

×

4 5

×

3 10

÷

2

×

77 2000

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

109 100

x

+

x

×

231 50000

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

54731 50000

x

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

54731 50000

x

+

x

×

4 5

×

2 5

÷

2

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

54731 50000

x

+

x

×

77 12500

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

55039 50000

x

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

55039 50000

x

+

x

×

4 5

×

3 10

÷

2

×

77 2000

×

77 2000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

=

55039 50000

x

+

x

×

17787 100000000

+

(

x

×

4 5

×

3 10

÷

2

+

(

x

×

4 5

×

2 5

÷

2

+

(

x

×

4 5

×

3 10

÷

2

×

77 2000

)

)

)

×

77 2000

    
        x≈215768.282946 , keep 6 decimal places    
    There are 1 solution(s).

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