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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 4.100 = ((30.56*0.847(x+0.1))/(1+0.847(x+0.1))*((100-8.28-1.4)/100)*(1/(1+0.31*1.4)+((2.26(x+0.1))/(1.3*0.101325)) ) ) .
    Question type: Equation
    Solution:Original question:
     
41
10
= ((
764
25
×
847
1000
( x +
1
10
)) ÷ (1 +
847
1000
( x +
1
10
)) × ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))))
    Remove a bracket on the right of the equation::
     
41
10
= (
764
25
×
847
1000
( x +
1
10
)) ÷ (1 +
847
1000
( x +
1
10
)) × ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
847
1000
( x +
1
10
))
     
41
10
(1 +
847
1000
( x +
1
10
)) = (
764
25
×
847
1000
( x +
1
10
))((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
41
10
× 1 +
41
10
×
847
1000
( x +
1
10
) = (
764
25
×
847
1000
( x +
1
10
))((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
41
10
× 1 +
41
10
×
847
1000
( x +
1
10
) =
764
25
×
847
1000
( x +
1
10
)((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
41
10
+
34727
10000
( x +
1
10
) =
161777
6250
( x +
1
10
)((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the left of the equation:
     
41
10
+
34727
10000
x +
34727
10000
×
1
10
=
161777
6250
( x +
1
10
)((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
41
10
+
34727
10000
x +
34727
10000
×
1
10
=
161777
6250
x ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
6250
×
1
10
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
41
10
+
34727
10000
x +
34727
100000
=
161777
6250
x ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
62500
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
444727
100000
+
34727
10000
x =
161777
6250
x ((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
62500
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
444727
100000
+
34727
10000
x =
161777
6250
x (100
207
25
7
5
) ÷ 100 × (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
62500
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
444727
100000
+
34727
10000
x =
161777
625000
x (100
207
25
7
5
)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
62500
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
444727
100000
+
34727
10000
x =
161777
625000
x × 100(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
161777
625000
x ×
207
25
(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
161777
625000
x ×
7
5
(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    The equation is reduced to :
     
444727
100000
+
34727
10000
x =
161777
6250
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
1132439
3125000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))) +
161777
62500
((100
207
25
7
5
) ÷ 100)(1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
    Remove a bracket on the right of the equation::
     
444727
100000
+
34727
10000
x =
161777
6250
x × 1 ÷ (1 +
31
100
×
7
5
) +
161777
6250
x ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
1132439
3125000
x
    The equation is reduced to :
     
444727
100000
+
34727
10000
x =
161777
6250
x ÷ (1 +
31
100
×
7
5
) +
161777
6250
x ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
1132439
3125000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))
     Multiply both sides of the equation by:(1 +
31
100
×
7
5
)
     
444727
100000
(1 +
31
100
×
7
5
) +
34727
10000
x (1 +
31
100
×
7
5
) =
161777
6250
x +
161777
6250
x ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))(1 +
31
100
×
7
5
)
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))(1 +
31
100
×
7
5
)
1132439
3125000
x
    Remove a bracket on the left of the equation:
     
444727
100000
× 1 +
444727
100000
×
31
100
×
7
5
+
34727
10000
x (1 +
31
100
×
7
5
) =
161777
6250
x +
161777
6250
x ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
))(1 +
31
100
×
7
5
)
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))(1 +
31
100
×
7
5
)
1132439
3125000
x
    Remove a bracket on the right of the equation::
     
444727
100000
× 1 +
444727
100000
×
31
100
×
7
5
+
34727
10000
x (1 +
31
100
×
7
5
) =
161777
6250
x +
161777
6250
x (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
31
100
×
7
5
)
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))(1 +
31
100
×
7
5
)
1132439
3125000
    The equation is reduced to :
     
444727
100000
+
96505759
50000000
+
34727
10000
x (1 +
31
100
×
7
5
) =
161777
6250
x +
161777
6250
x (
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
) × (1 +
31
100
×
7
5
)
33487839
15625000
x (1 ÷ (1 +
31
100
×
7
5
) + ((
113
50
( x +
1
10
)) ÷ (
13
10
×
4053
40000
)))(1 +
31
100
×
7
5
)
1132439
3125000

    The solution of the equation:
        x1≈-1.280638 , keep 6 decimal places
        x2≈0.219552 , 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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