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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 -54.94/(1+x/12)+61.29/(1+x/12*2) = -4.5 .
    Question type: Equation
    Solution:Original question:
      -
2747
50
 ÷ (1 + x ÷ 12) +
6129
100
 ÷ (1 + x ÷ 12 × 2) = -
9
2
     Multiply both sides of the equation by:(1 + x ÷ 12)
      -
2747
50
 +
6129
100
 ÷ (1 + x ÷ 12 × 2) × (1 + x ÷ 12) = -
9
2
(1 + x ÷ 12)
    Remove a bracket on the left of the equation:：
      -
2747
50
 +
6129
100
 ÷ (1 + x ÷ 12 × 2) × 1 +
6129
100
 ÷ (1 + x ÷ 12 × 2) × x ÷ 12 = -
9
2
(1 + x ÷ 12)
    Remove a bracket on the right of the equation:：
      -
2747
50
 +
6129
100
 ÷ (1 + x ÷ 12 × 2) × 1 +
6129
100
 ÷ (1 + x ÷ 12 × 2) × x ÷ 12 = -
9
2
 × 1 −
9
2
 x ÷ 12
    The equation is reduced to :
      -
2747
50
 +
6129
100
 ÷ (1 + x ÷ 12 × 2) +
2043
400
 ÷ (1 + x ÷ 12 × 2) × x = -
9
2
 −
3
8
 x
     Multiply both sides of the equation by:(1 + x ÷ 12 × 2)
      -
2747
50
(1 + x ÷ 12 × 2) +
6129
100
 +
2043
400
 x = -
9
2
(1 + x ÷ 12 × 2) −
3
8
 x (1 + x ÷ 12 × 2)
    Remove a bracket on the left of the equation:
      -
2747
50
 × 1 −
2747
50
 x ÷ 12 × 2 +
6129
100
 +
2043
400
 x = -
9
2
(1 + x ÷ 12 × 2) −
3
8
 x (1 + x ÷ 12 × 2)
    Remove a bracket on the right of the equation:：
      -
2747
50
 × 1 −
2747
50
 x ÷ 12 × 2 +
6129
100
 +
2043
400
 x = -
9
2
 × 1 −
9
2
 x ÷ 12 × 2 −
3
8
 x (1 + x ÷ 12 × 2)
    The equation is reduced to :
      -
2747
50
 −
2747
300
 x +
6129
100
 +
2043
400
 x = -
9
2
 −
3
4
 x −
3
8
 x (1 + x ÷ 12 × 2)
    The equation is reduced to :
     
127
20
 −
4859
1200
 x = -
9
2
 −
3
4
 x −
3
8
 x (1 + x ÷ 12 × 2)
    Remove a bracket on the right of the equation:：
     
127
20
 −
4859
1200
 x = -
9
2
 −
3
4
 x −
3
8
 x × 1 −
3
8
 x x ÷ 12 × 2
    The equation is reduced to :
     
127
20
 −
4859
1200
 x = -
9
2
 −
3
4
 x −
3
8
 x −
1
16
 x x
    The equation is reduced to :
     
127
20
 −
4859
1200
 x = -
9
2
 −
9
8
 x −
1
16
 x x

    The solution of the equation:
        x1≈4.063355 , keep 6 decimal places
        x2≈42.723311 , 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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