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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 738.98 = 228.08/(1+x/12*3)+228.08/(1+x/12*6)+228.08/(1+x/12*9)+145.97/(1+x) .
    Question type: Equation
    Solution:Original question:
     
36949
50
 =
5702
25
 ÷ (1 + x ÷ 12 × 3) +
5702
25
 ÷ (1 + x ÷ 12 × 6) +
5702
25
 ÷ (1 + x ÷ 12 × 9) +
14597
100
 ÷ (1 + x )
     Multiply both sides of the equation by:(1 + x ÷ 12 × 3)
     
36949
50
(1 + x ÷ 12 × 3) =
5702
25
 +
5702
25
 ÷ (1 + x ÷ 12 × 6) × (1 + x ÷ 12 × 3) +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)
    Remove a bracket on the left of the equation:：
     
36949
50
 × 1 +
36949
50
 x ÷ 12 × 3 =
5702
25
 +
5702
25
 ÷ (1 + x ÷ 12 × 6) × (1 + x ÷ 12 × 3) +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)
    Remove a bracket on the right of the equation:：
     
36949
50
 × 1 +
36949
50
 x ÷ 12 × 3 =
5702
25
 +
5702
25
 ÷ (1 + x ÷ 12 × 6) × 1 +
5702
25
 ÷ (1 + x ÷ 12 × 6) × x ÷ 12 × 3 +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3)
    The equation is reduced to :
     
36949
50
 +
36949
200
 x =
5702
25
 +
5702
25
 ÷ (1 + x ÷ 12 × 6) +
2851
50
 ÷ (1 + x ÷ 12 × 6) × x +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)
     Multiply both sides of the equation by:(1 + x ÷ 12 × 6)
     
36949
50
(1 + x ÷ 12 × 6) +
36949
200
 x (1 + x ÷ 12 × 6) =
5702
25
(1 + x ÷ 12 × 6) +
5702
25
 +
2851
50
 x +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)
    Remove a bracket on the left of the equation:
     
36949
50
 × 1 +
36949
50
 x ÷ 12 × 6 +
36949
200
 x (1 + x ÷ 12 × 6) =
5702
25
(1 + x ÷ 12 × 6) +
5702
25
 +
2851
50
 x +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)
    Remove a bracket on the right of the equation:：
     
36949
50
 × 1 +
36949
50
 x ÷ 12 × 6 +
36949
200
 x (1 + x ÷ 12 × 6) =
5702
25
 × 1 +
5702
25
 x ÷ 12 × 6 +
5702
25
 +
2851
50
 x +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3)
    The equation is reduced to :
     
36949
50
 +
36949
100
 x +
36949
200
 x (1 + x ÷ 12 × 6) =
5702
25
 +
2851
25
 x +
5702
25
 +
2851
50
 x +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x )
    The equation is reduced to :
     
36949
50
 +
36949
100
 x +
36949
200
 x (1 + x ÷ 12 × 6) =
11404
25
 +
8553
50
 x +
5702
25
 ÷ (1 + x ÷ 12 × 9) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6)
     Multiply both sides of the equation by:(1 + x ÷ 12 × 9)
     
36949
50
(1 + x ÷ 12 × 9) +
36949
100
 x (1 + x ÷ 12 × 9) +
36949
200
 x (1 + x ÷ 12 × 6)(1 + x ÷ 12 × 9) =
11404
25
(1 + x ÷ 12 × 9) +
8553
50
 x (1 + x ÷ 12 × 9) +
5702
25
(1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6)
    Remove a bracket on the left of the equation:
     
36949
50
 × 1 +
36949
50
 x ÷ 12 × 9 +
36949
100
 x (1 + x ÷ 12 × 9) +
36949
200
 x (1 + x ÷ 12 × 6) =
11404
25
(1 + x ÷ 12 × 9) +
8553
50
 x (1 + x ÷ 12 × 9) +
5702
25
(1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6)
    Remove a bracket on the right of the equation:：
     
36949
50
 × 1 +
36949
50
 x ÷ 12 × 9 +
36949
100
 x (1 + x ÷ 12 × 9) +
36949
200
 x (1 + x ÷ 12 × 6) =
11404
25
 × 1 +
11404
25
 x ÷ 12 × 9 +
8553
50
 x (1 + x ÷ 12 × 9) +
5702
25
(1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6)
    The equation is reduced to :
     
36949
50
 +
110847
200
 x +
36949
100
 x (1 + x ÷ 12 × 9) +
36949
200
 x (1 + x ÷ 12 × 6)(1 + x ÷ 12 × 9) =
11404
25
 +
8553
25
 x +
8553
50
 x (1 + x ÷ 12 × 9) +
5702
25
(1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6) +
14597
100
 ÷ (1 + x ) × (1 + x ÷ 12 × 3)
     Multiply both sides of the equation by:(1 + x )
     
36949
50
(1 + x ) +
110847
200
 x (1 + x ) +
36949
100
 x (1 + x ÷ 12 × 9)(1 + x ) +
36949
200
 x (1 + x ÷ 12 × 6) =
11404
25
(1 + x ) +
8553
25
 x (1 + x ) +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x ) +
5702
25
(1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6)
    Remove a bracket on the left of the equation:
     
36949
50
 × 1 +
36949
50
 x +
110847
200
 x (1 + x ) +
36949
100
 x (1 + x ÷ 12 × 9)(1 + x ) +
36949
200
 =
11404
25
(1 + x ) +
8553
25
 x (1 + x ) +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x ) +
5702
25
(1 + x ÷ 12 × 3)(1 + x ÷ 12 × 6)
    Remove a bracket on the right of the equation:：
     
36949
50
 × 1 +
36949
50
 x +
110847
200
 x (1 + x ) +
36949
100
 x (1 + x ÷ 12 × 9)(1 + x ) +
36949
200
 =
11404
25
 × 1 +
11404
25
 x +
8553
25
 x (1 + x ) +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x ) +
5702
25
    The equation is reduced to :
     
36949
50
 +
36949
50
 x +
110847
200
 x (1 + x ) +
36949
100
 x (1 + x ÷ 12 × 9)(1 + x ) +
36949
200
 x =
11404
25
 +
11404
25
 x +
8553
25
 x (1 + x ) +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x ) +
5702
25
(1 + x ÷ 12 × 3)
    Remove a bracket on the left of the equation:
     
36949
50
 +
36949
50
 x +
110847
200
 x × 1 +
110847
200
 x x +
36949
100
 x (1 + x ÷ 12 × 9) =
11404
25
 +
11404
25
 x +
8553
25
 x (1 + x ) +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x ) +
5702
25
(1 + x ÷ 12 × 3)
    Remove a bracket on the right of the equation:：
     
36949
50
 +
36949
50
 x +
110847
200
 x × 1 +
110847
200
 x x +
36949
100
 x (1 + x ÷ 12 × 9) =
11404
25
 +
11404
25
 x +
8553
25
 x × 1 +
8553
25
 x x +
8553
50
 x (1 + x ÷ 12 × 9)
    The equation is reduced to :
     
36949
50
 +
36949
50
 x +
110847
200
 x +
110847
200
 x x +
36949
100
 x (1 + x ÷ 12 × 9)(1 + x ) =
11404
25
 +
11404
25
 x +
8553
25
 x +
8553
25
 x x +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x )
    The equation is reduced to :
     
36949
50
 +
258643
200
 x +
110847
200
 x x +
36949
100
 x (1 + x ÷ 12 × 9)(1 + x ) +
36949
200
 x =
11404
25
 +
19957
25
 x +
8553
25
 x x +
8553
50
 x (1 + x ÷ 12 × 9)(1 + x ) +
5702
25
(1 + x ÷ 12 × 3)

    The solution of the equation:
        x1≈-3.302075 , keep 6 decimal places
        x2≈-1.681622 , keep 6 decimal places
        x3≈-1.103618 , keep 6 decimal places
        x4≈0.214882 , keep 6 decimal places    
    There are 4 solution(s).

解程的详细方法请参阅：《方程的解法》


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