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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 (3.5+11.47x)*1.57x/2+(11.47x+31)(6-1.57x)/2 = 118 .
    Question type: Equation
    Solution:Original question:
     (
7
2
 +
1147
100
 x ) ×
157
100
 x ÷ 2 + (
1147
100
 x + 31)(6 −
157
100
 x ) ÷ 2 = 118
     Left side of the equation = (
7
2
 +
1147
100
 x ) ×
157
200
 x + (
1147
100
 x + 31)(6 −
157
100
 x ) ×
1
2
    The equation is transformed into :
     (
7
2
 +
1147
100
 x ) ×
157
200
 x + (
1147
100
 x + 31)(6 −
157
100
 x ) ×
1
2
 = 118
    Remove the bracket on the left of the equation:
     Left side of the equation =
7
2
 ×
157
200
 x +
1147
100
 x ×
157
200
 x + (
1147
100
 x + 31)(6 −
157
100
 x ) ×
1
2
                                             =
1099
400
 x +
180079
20000
 x x + (
1147
100
 x + 31)(6 −
157
100
 x ) ×
1
2
                                             =
1099
400
 x +
180079
20000
 x x +
1147
100
 x (6 −
157
100
 x ) ×
1
2
 + 31(6 −
157
100
 x ) ×
1
2
                                             =
1099
400
 x +
180079
20000
 x x +
1147
200
 x (6 −
157
100
 x ) +
31
2
(6 −
157
100
 x )
                                             =
1099
400
 x +
180079
20000
 x x +
1147
200
 x × 6 −
1147
200
 x ×
157
100
 x
                                             =
1099
400
 x +
180079
20000
 x x +
3441
100
 x −
180079
20000
 x x +
31
2
(6 −
157
100
 x )
                                             =
14863
400
 x +
180079
20000
 x x −
180079
20000
 x x +
31
2
(6 −
157
100
 x )
                                             =
14863
400
 x +
180079
20000
 x x −
180079
20000
 x x +
31
2
 × 6 −
31
2
 ×
157
100
                                             =
14863
400
 x +
180079
20000
 x x −
180079
20000
 x x + 93 −
4867
200
 x
                                             =
5129
400
 x +
180079
20000
 x x −
180079
20000
 x x + 93
    The equation is transformed into :
     
5129
400
 x +
180079
20000
 x x −
180079
20000
 x x + 93 = 118

    the solutions is:
        x≈1.949698 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》


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