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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 3.97 = （（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:
     
397
100
 = ((
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:：
     
397
100
 = (
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
))
     
397
100
(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
)))
    Remove a bracket on the left of the equation:
     
397
100
 × 1 +
397
100
 ×
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
)))
    Remove a bracket on the right of the equation:：
     
397
100
 × 1 +
397
100
 ×
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
)))
    The equation is reduced to :
     
397
100
 +
253683
100000
( 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
)))
    Remove a bracket on the left of the equation:
     
397
100
 +
253683
100000
 x +
253683
100000
 ×
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
)))
    Remove a bracket on the right of the equation:：
     
397
100
 +
253683
100000
 x +
253683
100000
 ×
1
10
 =
895239
50000
 x ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) +
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
)))
    The equation is reduced to :
     
397
100
 +
253683
100000
 x +
253683
1000000
 =
895239
50000
 x ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))
    The equation is reduced to :
     
4223683
1000000
 +
253683
100000
 x =
895239
50000
 x ((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) +
895239
500000
((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:：
     
4223683
1000000
 +
253683
100000
 x =
895239
50000
 x (100 −
333
50
 −
57
50
) ÷ 100 × (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) +
895239
500000
((100 −
333
50
 −
57
50
) ÷ 100)(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))
    The equation is reduced to :
     
4223683
1000000
 +
253683
100000
 x =
895239
5000000
 x (100 −
333
50
 −
57
50
)(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) +
895239
500000
((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:：
     
4223683
1000000
 +
253683
100000
 x =
895239
5000000
 x × 100(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) −
895239
5000000
 x ×
333
50
(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) −
895239
5000000
 x ×
57
50
(1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))
    The equation is reduced to :
     
4223683
1000000
 +
253683
100000
 x =
895239
50000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) +
895239
500000
((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:：
     
4223683
1000000
 +
253683
100000
 x =
895239
50000
 x × 1 ÷ (1 +
31
100
 ×
57
50
) +
895239
50000
 x ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) −
51028623
250000000
 x
    The equation is reduced to :
     
4223683
1000000
 +
253683
100000
 x =
895239
50000
 x ÷ (1 +
31
100
 ×
57
50
) +
895239
50000
 x ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))) −
51028623
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
31
100
 ×
57
50
)
     
4223683
1000000
(1 +
31
100
 ×
57
50
) +
253683
100000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x +
895239
50000
 x ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
31
100
 ×
57
50
) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))(1 +
31
100
 ×
57
50
) −
51028623
250000000
 x
    Remove a bracket on the left of the equation:
     
4223683
1000000
 × 1 +
4223683
1000000
 ×
31
100
 ×
57
50
 +
253683
100000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x +
895239
50000
 x ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
))(1 +
31
100
 ×
57
50
) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))(1 +
31
100
 ×
57
50
) −
51028623
250000000
 x
    Remove a bracket on the right of the equation:：
     
4223683
1000000
 × 1 +
4223683
1000000
 ×
31
100
 ×
57
50
 +
253683
100000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x +
895239
50000
 x (
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
) × (1 +
31
100
 ×
57
50
) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))(1 +
31
100
 ×
57
50
) −
51028623
250000000
    The equation is reduced to :
     
4223683
1000000
 +
7463247861
5000000000
 +
253683
100000
 x (1 +
31
100
 ×
57
50
) =
895239
50000
 x +
895239
50000
 x (
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
) × (1 +
31
100
 ×
57
50
) −
298114587
250000000
 x (1 ÷ (1 +
31
100
 ×
57
50
) + ((
19
25
( x +
1
10
)) ÷ (
13
10
 ×
4053
40000
)))(1 +
31
100
 ×
57
50
) −
51028623
250000000

    The solution of the equation:
        x1≈-1.664945 , keep 6 decimal places
        x2≈0.310941 , 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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