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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 4.5960 = （（19.457*0.634（x+0.1））/（1+0.634（x+0.1））*（（100-17.84-1.23）/100）*（1/(1+0.31*1.23)）+（（3.76（x+0.1））/（1.427*0.101325）） ) .
    Question type: Equation
    Solution:Original question:
     
1149
250
 = ((
19457
1000
 ×
317
500
( x +
1
10
)) ÷ (1 +
317
500
( x +
1
10
)) × ((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
)))
    Remove a bracket on the right of the equation:：
     
1149
250
 = (
19457
1000
 ×
317
500
( x +
1
10
)) ÷ (1 +
317
500
( x +
1
10
)) × ((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))
     Multiply both sides of the equation by:(1 +
317
500
( x +
1
10
))
     
1149
250
(1 +
317
500
( x +
1
10
)) = (
19457
1000
 ×
317
500
( x +
1
10
))((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
1149
250
 × 1 +
1149
250
 ×
317
500
( x +
1
10
) = (
19457
1000
 ×
317
500
( x +
1
10
))((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
1149
250
 × 1 +
1149
250
 ×
317
500
( x +
1
10
) =
19457
1000
 ×
317
500
( x +
1
10
)((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    The equation is reduced to :
     
1149
250
 +
364233
125000
( x +
1
10
) =
6167869
500000
( x +
1
10
)((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    Remove a bracket on the left of the equation:
     
1149
250
 +
364233
125000
 x +
364233
125000
 ×
1
10
 =
6167869
500000
( x +
1
10
)((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
1149
250
 +
364233
125000
 x +
364233
125000
 ×
1
10
 =
6167869
500000
 x ((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
500000
 ×
1
10
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    The equation is reduced to :
     
1149
250
 +
364233
125000
 x +
364233
1250000
 =
6167869
500000
 x ((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    The equation is reduced to :
     
6109233
1250000
 +
364233
125000
 x =
6167869
500000
 x ((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
6109233
1250000
 +
364233
125000
 x =
6167869
500000
 x (100 −
446
25
 −
123
100
) ÷ 100 × (1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    The equation is reduced to :
     
6109233
1250000
 +
364233
125000
 x =
6167869
50000000
 x (100 −
446
25
 −
123
100
)(1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
)) + ((
94
25
( x +
1
10
)) ÷ (
1427
1000
 ×
4053
40000
))(1 +
317
500
( x +
1
10
))
    Remove a bracket on the right of the equation:：
     
6109233
1250000
 +
364233
125000
 x =
6167869
50000000
 x × 100(1 ÷ (1 +
31
100
 ×
123
100
)) −
6167869
50000000
 x ×
446
25
(1 ÷ (1 +
31
100
 ×
123
100
)) −
6167869
50000000
 x ×
123
100
(1 ÷ (1 +
31
100
 ×
123
100
))
    The equation is reduced to :
     
6109233
1250000
 +
364233
125000
 x =
6167869
500000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) −
1375434787
625000000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) −
758647887
5000000000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
))
    Remove a bracket on the right of the equation:：
     
6109233
1250000
 +
364233
125000
 x =
6167869
500000
 x × 1 ÷ (1 +
31
100
 ×
123
100
) −
1375434787
625000000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) −
758647887
5000000000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)
    The equation is reduced to :
     
6109233
1250000
 +
364233
125000
 x =
6167869
500000
 x ÷ (1 +
31
100
 ×
123
100
) −
1375434787
625000000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) −
758647887
5000000000
 x (1 ÷ (1 +
31
100
 ×
123
100
)) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)(1 ÷ (1 +
31
100
 ×
123
100
))
     Multiply both sides of the equation by:(1 +
31
100
 ×
123
100
)
     
6109233
1250000
(1 +
31
100
 ×
123
100
) +
364233
125000
 x (1 +
31
100
 ×
123
100
) =
6167869
500000
 x −
1375434787
625000000
 x (1 ÷ (1 +
31
100
 ×
123
100
))(1 +
31
100
 ×
123
100
) −
758647887
5000000000
 x (1 ÷ (1 +
31
100
 ×
123
100
))(1 +
31
100
 ×
123
100
) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)
    Remove a bracket on the left of the equation:
     
6109233
1250000
 × 1 +
6109233
1250000
 ×
31
100
 ×
123
100
 +
364233
125000
 x (1 +
31
100
 ×
123
100
) =
6167869
500000
 x −
1375434787
625000000
 x (1 ÷ (1 +
31
100
 ×
123
100
))(1 +
31
100
 ×
123
100
) −
758647887
5000000000
 x (1 ÷ (1 +
31
100
 ×
123
100
))(1 +
31
100
 ×
123
100
) +
6167869
5000000
((100 −
446
25
 −
123
100
) ÷ 100)
    Remove a bracket on the right of the equation:：
     
6109233
1250000
 × 1 +
6109233
1250000
 ×
31
100
 ×
123
100
 +
364233
125000
 x (1 +
31
100
 ×
123
100
) =
6167869
500000
 x −
1375434787
625000000
 x × 1 ÷ (1 +
31
100
 ×
123
100
) × (1 +
31
100
 ×
123
100
) −
758647887
5000000000
 x (1 ÷ (1 +
31
100
 ×
123
100
))(1 +
31
100
 ×
123
100
) +
6167869
5000000

    The solution of the equation:
        x1≈-1.677287 , keep 6 decimal places
        x2≈0.965464 , 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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