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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 4.6850 = （（28.02*0.639（x+0.1））/（1+0.639（x+0.1））*（（100-6.66-1.14）/100）*（1/(1+0.31*1.14)）+（（0.76（x+0.1））/（1.3*0.101325）） ) .
    Question type: Equation
    Solution:Original question:
     
937
200
 = ((
1401
50
 ×
639
1000
( x +
1
10
)) ÷ (1 +
639
1000
( x +
1
10
)) × ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
937
200
 = (
1401
50
 ×
639
1000
( x +
1
10
)) ÷ (1 +
639
1000
( x +
1
10
)) × ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))
     Multiply both sides of the equation by:(1 +
639
1000
( x +
1
10
))
     
937
200
(1 +
639
1000
( x +
1
10
)) = (
1401
50
 ×
639
1000
( x +
1
10
))((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
937
200
 × 1 +
937
200
 ×
639
1000
( x +
1
10
) = (
1401
50
 ×
639
1000
( x +
1
10
))((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
937
200
 × 1 +
937
200
 ×
639
1000
( x +
1
10
) =
1401
50
 ×
639
1000
( x +
1
10
)((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    The equation is reduced to :
     
937
200
 +
598743
200000
( x +
1
10
) =
895239
50000
( x +
1
10
)((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
937
200
 +
598743
200000
 x +
598743
200000
 ×
1
10
 =
895239
50000
( x +
1
10
)((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
937
200
 +
598743
200000
 x +
598743
200000
 ×
1
10
 =
895239
50000
 x ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
50000
 ×
1
10
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    The equation is reduced to :
     
937
200
 +
598743
200000
 x +
598743
2000000
 =
895239
50000
 x ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    The equation is reduced to :
     
9968743
2000000
 +
598743
200000
 x =
895239
50000
 x ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
9968743
2000000
 +
598743
200000
 x =
895239
50000
 x (100 −
333
50
 −
57
50
) ÷ 100 × (1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    The equation is reduced to :
     
9968743
2000000
 +
598743
200000
 x =
895239
5000000
 x (100 −
333
50
 −
57
50
)(1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
)) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
639
1000
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
9968743
2000000
 +
598743
200000
 x =
895239
5000000
 x × 100(1 ÷ (1 +
31
100
 ×
57
50
)) −
895239
5000000
 x ×
333
50
(1 ÷ (1 +
31
100
 ×
57
50
)) −
895239
5000000
 x ×
57
50
(1 ÷ (1 +
31
100
 ×
57
50
))
    The equation is reduced to :
     
9968743
2000000
 +
598743
200000
 x =
895239
50000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
))
    Remove a bracket on the right of the equation:：
     
9968743
2000000
 +
598743
200000
 x =
895239
50000
 x × 1 ÷ (1 +
31
100
 ×
57
50
) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)
    The equation is reduced to :
     
9968743
2000000
 +
598743
200000
 x =
895239
50000
 x ÷ (1 +
31
100
 ×
57
50
) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
)) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
57
50
)
     
9968743
2000000
(1 +
31
100
 ×
57
50
) +
598743
200000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
))(1 +
31
100
 ×
57
50
) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
))(1 +
31
100
 ×
57
50
) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)
    Remove a bracket on the left of the equation:
     
9968743
2000000
 × 1 +
9968743
2000000
 ×
31
100
 ×
57
50
 +
598743
200000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
))(1 +
31
100
 ×
57
50
) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
))(1 +
31
100
 ×
57
50
) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)
    Remove a bracket on the right of the equation:：
     
9968743
2000000
 × 1 +
9968743
2000000
 ×
31
100
 ×
57
50
 +
598743
200000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x −
298114587
250000000
 x × 1 ÷ (1 +
31
100
 ×
57
50
) × (1 +
31
100
 ×
57
50
) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
))(1 +
31
100
 ×
57
50
) +
895239
500000

    The solution of the equation:
        x1≈-1.664945 , keep 6 decimal places
        x2≈0.409025 , 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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