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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 1625.6+1625.6*0.03+0.03*X+(1625.6+1625.6*0.03+0.03*X)*0.0475*2/2+(1625.6+1625.6*0.03+0.03*X+(1625.6+1625.6*0.03+0.03*X)*0.0475*2/2)*0.3+0.0524*X = X .
    Question type: Equation
    Solution:Original question:
     
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2 + (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2) ×
3
10
+
131
2500
= X
     Left side of the equation =
8128
5
+
6096
125
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2) ×
3
10
+
131
2500
X
                                             =
209296
125
+
103
1250
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2) ×
3
10
    The equation is transformed into :
     
209296
125
+
103
1250
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2) ×
3
10
= X
    Remove the bracket on the left of the equation:
     Left side of the equation =
209296
125
+
103
1250
X +
8128
5
×
19
400
+
8128
5
×
3
100
×
19
400
+
3
100
X ×
19
400
+ (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2)
                                             =
209296
125
+
103
1250
X +
9652
125
+
7239
3125
+
57
40000
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2) ×
3
10
                                             =
5480939
3125
+
3353
40000
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
19
400
× 2 ÷ 2) ×
3
10
                                             =
5480939
3125
+
3353
40000
X +
8128
5
×
3
10
+
8128
5
×
3
100
×
3
10
+
3
100
X ×
3
10
+ (
8128
5
+
8128
5
×
3
100
+
3
100
X )
                                             =
5480939
3125
+
3353
40000
X +
12192
25
+
9144
625
+
9
1000
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
57
4000
                                             =
7050659
3125
+
3713
40000
X + (
8128
5
+
8128
5
×
3
100
+
3
100
X ) ×
57
4000
                                             =
7050659
3125
+
3713
40000
X +
8128
5
×
57
4000
+
8128
5
×
3
100
×
57
4000
+
3
100
X ×
57
4000
                                             =
7050659
3125
+
3713
40000
X +
14478
625
+
21717
31250
+
171
400000
X

    
        X≈2514.559592 , 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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