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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 234.18 = 262.80/(1+x/12*11)-13.01/(1+x/12*8) .
    Question type: Equation
    Solution:Original question:
     
11709
50
 =
1314
5
 ÷ (1 + x ÷ 12 × 11) −
1301
100
 ÷ (1 + x ÷ 12 × 8)
     Multiply both sides of the equation by:(1 + x ÷ 12 × 11)
     
11709
50
(1 + x ÷ 12 × 11) =
1314
5
 −
1301
100
 ÷ (1 + x ÷ 12 × 8) × (1 + x ÷ 12 × 11)
    Remove a bracket on the left of the equation:：
     
11709
50
 × 1 +
11709
50
 x ÷ 12 × 11 =
1314
5
 −
1301
100
 ÷ (1 + x ÷ 12 × 8) × (1 + x ÷ 12 × 11)
    Remove a bracket on the right of the equation:：
     
11709
50
 × 1 +
11709
50
 x ÷ 12 × 11 =
1314
5
 −
1301
100
 ÷ (1 + x ÷ 12 × 8) × 1 −
1301
100
 ÷ (1 + x ÷ 12 × 8) × x ÷ 12 × 11
    The equation is reduced to :
     
11709
50
 +
42933
200
 x =
1314
5
 −
1301
100
 ÷ (1 + x ÷ 12 × 8) −
14311
1200
 ÷ (1 + x ÷ 12 × 8) × x
     Multiply both sides of the equation by:(1 + x ÷ 12 × 8)
     
11709
50
(1 + x ÷ 12 × 8) +
42933
200
 x (1 + x ÷ 12 × 8) =
1314
5
(1 + x ÷ 12 × 8) −
1301
100
 −
14311
1200
 x
    Remove a bracket on the left of the equation:
     
11709
50
 × 1 +
11709
50
 x ÷ 12 × 8 +
42933
200
 x (1 + x ÷ 12 × 8) =
1314
5
(1 + x ÷ 12 × 8) −
1301
100
 −
14311
1200
 x
    Remove a bracket on the right of the equation:：
     
11709
50
 × 1 +
11709
50
 x ÷ 12 × 8 +
42933
200
 x (1 + x ÷ 12 × 8) =
1314
5
 × 1 +
1314
5
 x ÷ 12 × 8 −
1301
100
 −
14311
1200
 x
    The equation is reduced to :
     
11709
50
 +
3903
25
 x +
42933
200
 x (1 + x ÷ 12 × 8) =
1314
5
 +
876
5
 x −
1301
100
 −
14311
1200
 x
    The equation is reduced to :
     
11709
50
 +
3903
25
 x +
42933
200
 x (1 + x ÷ 12 × 8) =
24979
100
 +
195929
1200
 x
    Remove a bracket on the left of the equation:
     
11709
50
 +
3903
25
 x +
42933
200
 x × 1 +
42933
200
 x x ÷ 12 × 8 =
24979
100
 +
195929
1200
 x
    The equation is reduced to :
     
11709
50
 +
3903
25
 x +
42933
200
 x +
14311
100
 x x =
24979
100
 +
195929
1200
 x
    The equation is reduced to :
     
11709
50
 +
74157
200
 x +
14311
100
 x x =
24979
100
 +
195929
1200
 x

    The solution of the equation:
        x1≈-1.521691 , keep 6 decimal places
        x2≈0.071681 , 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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