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    Work: Find the solution of equation a = 1200-1100*((0.00058*a+0.992)/(0.00109*a+3.374)) .
    Question type: Equation
    Solution:Original question:

a

=

1200

−

1100

(

(

29 50000

a

+

124 125

)

÷

(

109 100000

a

+

1687 500

)

)

    Remove a bracket on the right of the equation:：

a

=

1200

−

1100

(

29 50000

a

+

124 125

)

÷

(

109 100000

a

+

1687 500

)

Multiply both sides of the equation by:

(

109 100000

a

+

1687 500

)

a

(

109 100000

a

+

1687 500

)

=

1200

(

109 100000

a

+

1687 500

)

−

1100

(

29 50000

a

+

124 125

)

    Remove a bracket on the left of the equation:

a

×

109 100000

a

+

a

×

1687 500

=

1200

(

109 100000

a

+

1687 500

)

−

1100

(

29 50000

a

+

124 125

)

    Remove a bracket on the right of the equation:：

a

×

109 100000

a

+

a

×

1687 500

=

1200

×

109 100000

a

+

1200

×

1687 500

−

1100

(

29 50000

a

+

124 125

)

    The equation is reduced to :

a

×

109 100000

a

+

a

×

1687 500

=

327 250

a

+

20244 5

−

1100

(

29 50000

a

+

124 125

)

    Remove a bracket on the right of the equation:：

a

×

109 100000

a

+

1687 500

a

=

327 250

a

+

20244 5

−

1100

×

29 50000

a

−

1100

×

124 125

    The equation is reduced to :

a

×

109 100000

a

+

1687 500

a

=

327 250

a

+

20244 5

−

319 500

a

−

5456 5

    The equation is reduced to :

a

×

109 100000

a

+

1687 500

a

=

67 100

a

+

14788 5

    
        a≈821.647751 , keep 6 decimal places    
    There are 1 solution(s).

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