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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 14.2 = 11.5+0.1/(0.1+0.9x)*4.1 .
    Question type: Equation
    Solution:Original question:
     
71
5
 =
23
2
 +
1
10
 ÷ (
1
10
 +
9
10
 x ) ×
41
10
     Multiply both sides of the equation by:(
1
10
 +
9
10
 x )
     
71
5
(
1
10
 +
9
10
 x ) =
23
2
(
1
10
 +
9
10
 x ) +
1
10
 ×
41
10
    Remove a bracket on the left of the equation:：
     
71
5
 ×
1
10
 +
71
5
 ×
9
10
 x =
23
2
(
1
10
 +
9
10
 x ) +
1
10
 ×
41
10
    Remove a bracket on the right of the equation:：
     
71
5
 ×
1
10
 +
71
5
 ×
9
10
 x =
23
2
 ×
1
10
 +
23
2
 ×
9
10
 x +
1
10
 ×
41
10
    The equation is reduced to :
     
71
50
 +
639
50
 x =
23
20
 +
207
20
 x +
41
100
    The equation is reduced to :
     
71
50
 +
639
50
 x =
39
25
 +
207
20
 x

    Transposition :
     
639
50
 x −
207
20
 x =
39
25
 −
71
50

    Combine the items on the left of the equation:
     
243
100
 x =
39
25
 −
71
50

    Combine the items on the right of the equation:
     
243
100
 x =
7
50

    The coefficient of the unknown number is reduced to 1 :
      x =
7
50
 ÷
243
100
        =
7
50
 ×
100
243
        = 7 ×
2
243

    We obtained :
      x =
14
243
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.057613



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