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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 33.88/（1+X/12*3)+0.05/(1+X/12*13) = 32.39 .
    Question type: Equation
    Solution:Original question:
     
847
25
 ÷ (1 + X ÷ 12 × 3) +
1
20
 ÷ (1 + X ÷ 12 × 13) =
3239
100
     Multiply both sides of the equation by:(1 + X ÷ 12 × 3)
     
847
25
 +
1
20
 ÷ (1 + X ÷ 12 × 13) × (1 + X ÷ 12 × 3) =
3239
100
(1 + X ÷ 12 × 3)
    Remove a bracket on the left of the equation:：
     
847
25
 +
1
20
 ÷ (1 + X ÷ 12 × 13) × 1 +
1
20
 ÷ (1 + X ÷ 12 × 13) × X ÷ 12 × 3 =
3239
100
(1 + X ÷ 12 × 3)
    Remove a bracket on the right of the equation:：
     
847
25
 +
1
20
 ÷ (1 + X ÷ 12 × 13) × 1 +
1
20
 ÷ (1 + X ÷ 12 × 13) × X ÷ 12 × 3 =
3239
100
 × 1 +
3239
100
 X ÷ 12 × 3
    The equation is reduced to :
     
847
25
 +
1
20
 ÷ (1 + X ÷ 12 × 13) +
1
80
 ÷ (1 + X ÷ 12 × 13) × X =
3239
100
 +
3239
400
 X
     Multiply both sides of the equation by:(1 + X ÷ 12 × 13)
     
847
25
(1 + X ÷ 12 × 13) +
1
20
 +
1
80
 X =
3239
100
(1 + X ÷ 12 × 13) +
3239
400
 X (1 + X ÷ 12 × 13)
    Remove a bracket on the left of the equation:
     
847
25
 × 1 +
847
25
 X ÷ 12 × 13 +
1
20
 +
1
80
 X =
3239
100
(1 + X ÷ 12 × 13) +
3239
400
 X (1 + X ÷ 12 × 13)
    Remove a bracket on the right of the equation:：
     
847
25
 × 1 +
847
25
 X ÷ 12 × 13 +
1
20
 +
1
80
 X =
3239
100
 × 1 +
3239
100
 X ÷ 12 × 13 +
3239
400
 X (1 + X ÷ 12 × 13)
    The equation is reduced to :
     
847
25
 +
11011
300
 X +
1
20
 +
1
80
 X =
3239
100
 +
42107
1200
 X +
3239
400
 X (1 + X ÷ 12 × 13)
    The equation is reduced to :
     
3393
100
 +
44059
1200
 X =
3239
100
 +
42107
1200
 X +
3239
400
 X (1 + X ÷ 12 × 13)
    Remove a bracket on the right of the equation:：
     
3393
100
 +
44059
1200
 X =
3239
100
 +
42107
1200
 X +
3239
400
 X × 1 +
3239
400
 X X ÷ 12 × 13
    The equation is reduced to :
     
3393
100
 +
44059
1200
 X =
3239
100
 +
42107
1200
 X +
3239
400
 X +
42107
4800
 X X
    The equation is reduced to :
     
3393
100
 +
44059
1200
 X =
3239
100
 +
3239
75
 X +
42107
4800
 X X

    
        X≈0.189374 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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