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[ 1/1 Equation]
    Work: Find the solution of equation (-85.54*x-0.2396)*(0.5042-46.61*x) = 1 .
    Question type: Equation
    Solution:Original question:

(

-

4277 50

x

−

599 2500

)

(

2521 5000

−

4661 100

x

)

=

1

    Remove the bracket on the left of the equation:

Left side of the equation =

-

4277 50

x

(

2521 5000

−

4661 100

x

)

−

599 2500

(

2521 5000

−

4661 100

x

)

=

-

4277 50

x

×

2521 5000

+

4277 50

x

×

4661 100

x

−

599 2500

(

2521 5000

−

4661 100

x

)

=

-

10782317 250000

x

+

19935097 5000

x

x

−

599 2500

(

2521 5000

−

4661 100

x

)

=

-

10782317 250000

x

+

19935097 5000

x

x

−

599 2500

×

2521 5000

+

599 2500

×

4661 100

x

=

-

10782317 250000

x

+

19935097 5000

x

x

−

1510079 12500000

+

2791939 250000

x

=

-

3995189 125000

x

+

19935097 5000

x

x

−

1510079 12500000

    The equation is transformed into :

-

3995189 125000

x

+

19935097 5000

x

x

−

1510079 12500000

=

1

    The solution of the equation:
        x₁≈-0.013231 , keep 6 decimal places
        x₂≈0.021247 , 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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