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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 243.45 = 273.21/(1+x/(12*11))-13.53/(1+x/(12*8)) .
    Question type: Equation
    Solution:Original question:
     
4869
20
 =
27321
100
 ÷ (1 + x ÷ (12 × 11)) −
1353
100
 ÷ (1 + x ÷ (12 × 8))
     Multiply both sides of the equation by:(1 + x ÷ (12 × 11))
     
4869
20
(1 + x ÷ (12 × 11)) =
27321
100
 −
1353
100
 ÷ (1 + x ÷ (12 × 8)) × (1 + x ÷ (12 × 11))
    Remove a bracket on the left of the equation:：
     
4869
20
 × 1 +
4869
20
 x ÷ (12 × 11) =
27321
100
 −
1353
100
 ÷ (1 + x ÷ (12 × 8)) × (1 + x ÷ (12 × 11))
    Remove a bracket on the right of the equation:：
     
4869
20
 × 1 +
4869
20
 x ÷ (12 × 11) =
27321
100
 −
1353
100
 ÷ (1 + x ÷ (12 × 8)) × 1 −
1353
100
 ÷ (1 + x ÷ (12 × 8)) × x ÷ (12 × 11)
    The equation is reduced to :
     
4869
20
 +
4869
20
 x ÷ (12 × 11) =
27321
100
 −
1353
100
 ÷ (1 + x ÷ (12 × 8)) −
1353
100
 ÷ (1 + x ÷ (12 × 8)) × x ÷ (12 × 11)
     Multiply both sides of the equation by:(12 × 11) ,  (1 + x ÷ (12 × 8))
     
4869
20
(12 × 11)(1 + x ÷ (12 × 8)) +
4869
20
 x (1 + x ÷ (12 × 8)) =
27321
100
(12 × 11)(1 + x ÷ (12 × 8)) −
1353
100
(12 × 11) −
1353
100
 x ÷ (12 × 11) × (12 × 11)
    Remove a bracket on the left of the equation:
     
4869
20
 × 12 × 11(1 + x ÷ (12 × 8)) +
4869
20
 x (1 + x ÷ (12 × 8)) =
27321
100
(12 × 11)(1 + x ÷ (12 × 8)) −
1353
100
(12 × 11) −
1353
100
 x ÷ (12 × 11) × (12 × 11)
    Remove a bracket on the right of the equation:：
     
4869
20
 × 12 × 11(1 + x ÷ (12 × 8)) +
4869
20
 x (1 + x ÷ (12 × 8)) =
27321
100
 × 12 × 11(1 + x ÷ (12 × 8)) −
1353
100
(12 × 11) −
1353
100
 x ÷ (12 × 11) × (12 × 11)
    The equation is reduced to :
     
160677
5
(1 + x ÷ (12 × 8)) +
4869
20
 x (1 + x ÷ (12 × 8)) =
901593
25
(1 + x ÷ (12 × 8)) −
1353
100
(12 × 11) −
1353
100
 x ÷ (12 × 11) × (12 × 11)
     Multiply both sides of the equation by:(12 × 11)
     
160677
5
(1 + x ÷ (12 × 8))(12 × 11) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
901593
25
(1 + x ÷ (12 × 8))(12 × 11) −
1353
100
(12 × 11)(12 × 11) −
1353
100
 x (12 × 11)
    Remove a bracket on the left of the equation:
     
160677
5
 × 1(12 × 11) +
160677
5
 x ÷ (12 × 8) × (12 × 11) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
901593
25
(1 + x ÷ (12 × 8))(12 × 11) −
1353
100
(12 × 11)(12 × 11) −
1353
100
 x (12 × 11)
    Remove a bracket on the right of the equation:：
     
160677
5
 × 1(12 × 11) +
160677
5
 x ÷ (12 × 8) × (12 × 11) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
901593
25
 × 1(12 × 11) +
901593
25
 x ÷ (12 × 8) × (12 × 11) −
1353
100
(12 × 11)(12 × 11) −
1353
100
 x
    The equation is reduced to :
     
160677
5
(12 × 11) +
160677
5
 x ÷ (12 × 8) × (12 × 11) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
901593
25
(12 × 11) +
901593
25
 x ÷ (12 × 8) × (12 × 11) −
1353
100
(12 × 11)(12 × 11) −
1353
100
 x (12 × 11)
     Multiply both sides of the equation by:(12 × 8) ,  (12 × 8)
     
160677
5
(12 × 11)(12 × 8)(12 × 8) +
160677
5
 x (12 × 11)(12 × 8) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
901593
25
(12 × 11)(12 × 8)(12 × 8) +
901593
25
 x (12 × 11)(12 × 8) −
1353
100
(12 × 11)(12 × 11)(12 × 8)
    Remove a bracket on the left of the equation:
     
160677
5
 × 12 × 11(12 × 8)(12 × 8) +
160677
5
 x (12 × 11)(12 × 8) +
4869
20
 x (1 + x ÷ (12 × 8)) =
901593
25
(12 × 11)(12 × 8)(12 × 8) +
901593
25
 x (12 × 11)(12 × 8) −
1353
100
(12 × 11)(12 × 11)(12 × 8)
    Remove a bracket on the right of the equation:：
     
160677
5
 × 12 × 11(12 × 8)(12 × 8) +
160677
5
 x (12 × 11)(12 × 8) +
4869
20
 x (1 + x ÷ (12 × 8)) =
901593
25
 × 12 × 11(12 × 8)(12 × 8) +
901593
25
 x (12 × 11)(12 × 8) −
1353
100
(12 × 11)(12 × 11)
    The equation is reduced to :
     
21209364
5
(12 × 8)(12 × 8) +
160677
5
 x (12 × 11)(12 × 8) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11)(12 × 8) =
119010276
25
(12 × 8)(12 × 8) +
901593
25
 x (12 × 11)(12 × 8) −
1353
100
(12 × 11)(12 × 11)(12 × 8)(12 × 8)
    Remove a bracket on the left of the equation:
     
21209364
5
 × 12 × 8(12 × 8) +
160677
5
 x (12 × 11)(12 × 8) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
119010276
25
(12 × 8)(12 × 8) +
901593
25
 x (12 × 11)(12 × 8) −
1353
100
(12 × 11)(12 × 11)(12 × 8)(12 × 8)
    Remove a bracket on the right of the equation:：
     
21209364
5
 × 12 × 8(12 × 8) +
160677
5
 x (12 × 11)(12 × 8) +
4869
20
 x (1 + x ÷ (12 × 8))(12 × 11) =
119010276
25
 × 12 × 8(12 × 8) +
901593
25
 x (12 × 11)(12 × 8) −
1353
100
(12 × 11)(12 × 11)(12 × 8)

    The solution of the equation:
        x1≈-94.170247 , keep 6 decimal places
        x2≈8.970986 , 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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