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    Work: Find the solution of equation （10.1199-A）*（0.5*40.1258-26.2756+2*10.1199-A+2*2.4177+3*0.9259-0.5*5.8723）*4.741 = A*（26.2756-2*10.1199+A-2*2.4177-3*0.9259） .
    Question type: Equation
    Solution:Original question:

(

101199 10000

−

A

)

(

1 2

×

200629 5000

−

65689 2500

+

2

×

101199 10000

−

A

+

2

×

24177 10000

+

3

×

9259 10000

−

1 2

×

58723 10000

)

×

4741 1000

=

A

(

65689 2500

−

2

×

101199 10000

+

A

−

2

×

24177 10000

−

3

×

9259 10000

)

    Remove the bracket on the left of the equation:

Left side of the equation =

101199 10000

(

1 2

×

200629 5000

−

65689 2500

+

2

×

101199 10000

−

A

+

2

×

24177 10000

+

3

×

9259 10000

−

1 2

×

58723 10000

)

×

4741 1000

−

A

(

1 2

×

200629 5000

−

65689 2500

+

2

×

101199 10000

−

A

+

2

×

24177 10000

+

3

×

9259 10000

−

1 2

×

58723 10000

)

×

4741 1000

=

479784459 10000000

(

1 2

×

200629 5000

−

65689 2500

+

2

×

101199 10000

−

A

+

2

×

24177 10000

+

3

×

9259 10000

−

1 2

×

58723 10000

)

−

A

(

1 2

×

200629 5000

−

65689 2500

+

2

×

101199 10000

−

A

+

2

×

24177 10000

+

3

×

9259 10000

−

1 2

×

58723 10000

)

×

4741 1000

=

479784459 10000000

×

1 2

×

200629 5000

−

479784459 10000000

×

65689 2500

+

479784459 10000000

×

2

×

101199 10000

−

479784459 10000000

A

+

479784459 10000000

×

2

    The solution of the equation:
        A₁≈8.777154 , keep 6 decimal places
        A₂≈27.330049 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》

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