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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 1764+1764*0.03+0.03X+(1764+1764*0.03+0.03X)*0.0475+(1764+1764*0.03+0.03X+(1764+1764*0.03+0.03X)*0.0475)*0.18+0.0524X = X .
    Question type: Equation
    Solution:Original question:
     1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
+ (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
) ×
9
50
+
131
2500
X = X
     Left side of the equation = 1764 +
1323
25
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
+ (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
) ×
9
50
+
131
2500
X
                                             =
45423
25
+
103
1250
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
+ (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
) ×
9
50
    The equation is transformed into :
     
45423
25
+
103
1250
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
+ (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
) ×
9
50
= X
    Remove the bracket on the left of the equation:
     Left side of the equation =
45423
25
+
103
1250
X + 1764 ×
19
400
+ 1764 ×
3
100
×
19
400
+
3
100
X ×
19
400
+ (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
)
                                             =
45423
25
+
103
1250
X +
8379
100
+
25137
10000
+
57
40000
X + (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
) ×
9
50
                                             =
19032237
10000
+
3353
40000
X + (1764 + 1764 ×
3
100
+
3
100
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
19
400
) ×
9
50
                                             =
19032237
10000
+
3353
40000
X + 1764 ×
9
50
+ 1764 ×
3
100
×
9
50
+
3
100
X ×
9
50
+ (1764 + 1764 ×
3
100
+
3
100
X )
                                             =
19032237
10000
+
3353
40000
X +
7938
25
+
11907
1250
+
27
5000
X + (1764 + 1764 ×
3
100
+
3
100
X ) ×
171
20000

    
        X≈2466.511077 , 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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